diff --git a/fairlearn/metrics/_group_metric_set.py b/fairlearn/metrics/_group_metric_set.py
index 83eafde..a6590f0 100644
--- a/fairlearn/metrics/_group_metric_set.py
+++ b/fairlearn/metrics/_group_metric_set.py
@@ -27,6 +27,7 @@ _BIN_LABELS = 'binLabels'
 _FEATURE_BIN_NAME = 'featureBinName'
 _PREDICTION_TYPE = 'predictionType'
 _PREDICTION_BINARY_CLASSIFICATION = 'binaryClassification'
+_PREDICTION_PROBABILITY = 'probability'
 _PREDICTION_REGRESSION = 'regression'
 _MODEL_NAMES = 'modelNames'
 _SCHEMA = 'schemaType'
@@ -34,56 +35,63 @@ _DASHBOARD_DICTIONARY = 'dashboardDictionary'
 _VERSION = 'schemaVersion'
 
 BINARY_CLASSIFICATION = 'binary_classification'
+PROBABILITY = 'probability'
 REGRESSION = 'regression'
-_allowed_prediction_types = frozenset([BINARY_CLASSIFICATION, REGRESSION])
+_allowed_prediction_types = frozenset([BINARY_CLASSIFICATION, PROBABILITY, REGRESSION])
 
 # The following keys need to match those of _metric_methods in
 # _fairlearn_dashboard.py
 # Issue 269 is about unifying the two sets
-ACCURACY_SCORE_GROUP_SUMMARY = "accuracy_score"
-BALANCED_ROOT_MEAN_SQUARED_ERROR_GROUP_SUMMARY = "balanced_root_mean_squared_error"
-F1_SCORE_GROUP_SUMMARY = "f1_score"
-FALLOUT_RATE_GROUP_SUMMARY = "fallout_rate"
-LOG_LOSS_GROUP_SUMMARY = "log_loss"
-MEAN_ABSOLUTE_ERROR_GROUP_SUMMARY = "mean_absolute_error"
-MEAN_OVERPREDICTION_GROUP_SUMMARY = "overprediction"
-MEAN_PREDICTION_GROUP_SUMMARY = "average"
-MEAN_SQUARED_ERROR_GROUP_SUMMARY = "mean_squared_error"
-MEAN_UNDERPREDICTION_GROUP_SUMMARY = "underprediction"
-MISS_RATE_GROUP_SUMMARY = "miss_rate"
-PRECISION_SCORE_GROUP_SUMMARY = "precision_score"
-R2_SCORE_GROUP_SUMMARY = "r2_score"
-RECALL_SCORE_GROUP_SUMMARY = "recall_score"
-ROC_AUC_SCORE_GROUP_SUMMARY = "balanced_accuracy_score"
-ROOT_MEAN_SQUARED_ERROR_GROUP_SUMMARY = "root_mean_squared_error"
-SELECTION_RATE_GROUP_SUMMARY = "selection_rate"
-SPECIFICITY_SCORE_GROUP_SUMMARY = "specificity_score"
-ZERO_ONE_LOSS_GROUP_SUMMARY = "zero_one_loss"
+ACCURACY_SCORE = "accuracy_score"
+BALANCED_ROOT_MEAN_SQUARED_ERROR = "balanced_root_mean_squared_error"
+F1_SCORE = "f1_score"
+FALLOUT_RATE = "fallout_rate"
+LOG_LOSS = "log_loss"
+MEAN_ABSOLUTE_ERROR = "mean_absolute_error"
+MEAN_OVERPREDICTION = "overprediction"
+MEAN_PREDICTION = "average"
+MEAN_SQUARED_ERROR = "mean_squared_error"
+MEAN_UNDERPREDICTION = "underprediction"
+MISS_RATE = "miss_rate"
+PRECISION_SCORE = "precision_score"
+R2_SCORE = "r2_score"
+RECALL_SCORE = "recall_score"
+ROC_AUC_SCORE = "balanced_accuracy_score"
+ROOT_MEAN_SQUARED_ERROR = "root_mean_squared_error"
+SELECTION_RATE = "selection_rate"
+SPECIFICITY_SCORE = "specificity_score"
+ZERO_ONE_LOSS = "zero_one_loss"
 
 BINARY_CLASSIFICATION_METRICS = {}
-BINARY_CLASSIFICATION_METRICS[ACCURACY_SCORE_GROUP_SUMMARY] = skm.accuracy_score
-BINARY_CLASSIFICATION_METRICS[FALLOUT_RATE_GROUP_SUMMARY] = false_positive_rate
-BINARY_CLASSIFICATION_METRICS[F1_SCORE_GROUP_SUMMARY] = skm.f1_score
-BINARY_CLASSIFICATION_METRICS[MEAN_OVERPREDICTION_GROUP_SUMMARY] = _mean_overprediction
-BINARY_CLASSIFICATION_METRICS[MEAN_UNDERPREDICTION_GROUP_SUMMARY] = _mean_underprediction
-BINARY_CLASSIFICATION_METRICS[MISS_RATE_GROUP_SUMMARY] = false_negative_rate
-BINARY_CLASSIFICATION_METRICS[PRECISION_SCORE_GROUP_SUMMARY] = skm.precision_score
-BINARY_CLASSIFICATION_METRICS[RECALL_SCORE_GROUP_SUMMARY] = skm.recall_score
-BINARY_CLASSIFICATION_METRICS[ROC_AUC_SCORE_GROUP_SUMMARY] = skm.roc_auc_score
-BINARY_CLASSIFICATION_METRICS[SELECTION_RATE_GROUP_SUMMARY] = selection_rate
-BINARY_CLASSIFICATION_METRICS[SPECIFICITY_SCORE_GROUP_SUMMARY] = true_negative_rate
+BINARY_CLASSIFICATION_METRICS[ACCURACY_SCORE] = skm.accuracy_score
+BINARY_CLASSIFICATION_METRICS[FALLOUT_RATE] = false_positive_rate
+BINARY_CLASSIFICATION_METRICS[F1_SCORE] = skm.f1_score
+BINARY_CLASSIFICATION_METRICS[MEAN_OVERPREDICTION] = _mean_overprediction
+BINARY_CLASSIFICATION_METRICS[MEAN_UNDERPREDICTION] = _mean_underprediction
+BINARY_CLASSIFICATION_METRICS[MISS_RATE] = false_negative_rate
+BINARY_CLASSIFICATION_METRICS[PRECISION_SCORE] = skm.precision_score
+BINARY_CLASSIFICATION_METRICS[RECALL_SCORE] = skm.recall_score
+BINARY_CLASSIFICATION_METRICS[ROC_AUC_SCORE] = skm.roc_auc_score
+BINARY_CLASSIFICATION_METRICS[SELECTION_RATE] = selection_rate
+BINARY_CLASSIFICATION_METRICS[SPECIFICITY_SCORE] = true_negative_rate
 
 REGRESSION_METRICS = {}
-REGRESSION_METRICS[BALANCED_ROOT_MEAN_SQUARED_ERROR_GROUP_SUMMARY] = _balanced_root_mean_squared_error  # noqa: E501
-REGRESSION_METRICS[LOG_LOSS_GROUP_SUMMARY] = skm.log_loss
-REGRESSION_METRICS[MEAN_ABSOLUTE_ERROR_GROUP_SUMMARY] = skm.mean_absolute_error
-REGRESSION_METRICS[MEAN_OVERPREDICTION_GROUP_SUMMARY] = _mean_overprediction
-REGRESSION_METRICS[MEAN_UNDERPREDICTION_GROUP_SUMMARY] = _mean_underprediction
-REGRESSION_METRICS[MEAN_PREDICTION_GROUP_SUMMARY] = mean_prediction
-REGRESSION_METRICS[MEAN_SQUARED_ERROR_GROUP_SUMMARY] = skm.mean_squared_error
-REGRESSION_METRICS[R2_SCORE_GROUP_SUMMARY] = skm.r2_score
-REGRESSION_METRICS[ROOT_MEAN_SQUARED_ERROR_GROUP_SUMMARY] = _root_mean_squared_error
-REGRESSION_METRICS[ZERO_ONE_LOSS_GROUP_SUMMARY] = skm.zero_one_loss
+REGRESSION_METRICS[MEAN_ABSOLUTE_ERROR] = skm.mean_absolute_error
+REGRESSION_METRICS[MEAN_PREDICTION] = mean_prediction
+REGRESSION_METRICS[MEAN_SQUARED_ERROR] = skm.mean_squared_error
+REGRESSION_METRICS[ROOT_MEAN_SQUARED_ERROR] = _root_mean_squared_error
+REGRESSION_METRICS[R2_SCORE] = skm.r2_score
+
+PROBABILITY_METRICS = {}
+PROBABILITY_METRICS[BALANCED_ROOT_MEAN_SQUARED_ERROR] = _balanced_root_mean_squared_error
+PROBABILITY_METRICS[LOG_LOSS] = skm.log_loss
+PROBABILITY_METRICS[MEAN_ABSOLUTE_ERROR] = skm.mean_absolute_error
+PROBABILITY_METRICS[MEAN_OVERPREDICTION] = _mean_overprediction
+PROBABILITY_METRICS[MEAN_PREDICTION] = mean_prediction
+PROBABILITY_METRICS[MEAN_SQUARED_ERROR] = skm.mean_squared_error
+PROBABILITY_METRICS[MEAN_UNDERPREDICTION] = _mean_underprediction
+PROBABILITY_METRICS[ROC_AUC_SCORE] = skm.roc_auc_score
+PROBABILITY_METRICS[ROOT_MEAN_SQUARED_ERROR] = _root_mean_squared_error
 
 
 def _process_sensitive_features(sensitive_features):
@@ -140,6 +148,9 @@ def _create_group_metric_set(y_true,
     elif prediction_type == REGRESSION:
         result[_PREDICTION_TYPE] = _PREDICTION_REGRESSION
         function_dict = REGRESSION_METRICS
+    elif prediction_type == PROBABILITY:
+        result[_PREDICTION_TYPE] = _PREDICTION_PROBABILITY
+        function_dict = PROBABILITY_METRICS
     else:
         raise NotImplementedError(
             "No support yet for {0}".format(prediction_type))

diff --git a/test/unit/metrics/test_create_group_metric_set.py b/test/unit/metrics/test_create_group_metric_set.py
index 97c7e5b..cd7ca76 100644
--- a/test/unit/metrics/test_create_group_metric_set.py
+++ b/test/unit/metrics/test_create_group_metric_set.py
@@ -214,15 +214,35 @@ class TestCreateGroupMetricSet:
         assert actual_roc['bins'] == list(expected.by_group['roc_auc_score'])
 
     def test_regression_prediction_type(self):
-        y_t = [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1]
-        y_p = [1, 1, 1, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0]
+        # For regression, both y_t and y_p can have floating point values
+        y_t = [0, 1, 1, 0, 1, 1, 1.5, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1]
+        y_p = [1, 1, 1, 0, 1, 1, 1.5, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0]
         s_f = [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1]
 
         predictions = {"some model": y_p}
         sensitive_feature = {"my sf": s_f}
 
         # Using the `regression` prediction type should not crash
-        _create_group_metric_set(y_t,
-                                 predictions,
-                                 sensitive_feature,
-                                 'regression')
+        result = _create_group_metric_set(y_t,
+                                          predictions,
+                                          sensitive_feature,
+                                          'regression')
+        assert result['predictionType'] == 'regression'
+        assert len(result['precomputedMetrics'][0][0]) == 5
+
+    def test_probability_prediction_type(self):
+        # For probability, y_p can have real values [0, 1]
+        y_t = [0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1]
+        y_p = [0.9, 1, 1, 0.1, 1, 1, 0.8, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0]
+        s_f = [0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1]
+
+        predictions = {"some model": y_p}
+        sensitive_feature = {"my sf": s_f}
+
+        # Using the `probability` prediction type should not crash
+        result = _create_group_metric_set(y_t,
+                                          predictions,
+                                          sensitive_feature,
+                                          'probability')
+        assert result['predictionType'] == 'probability'
+        assert len(result['precomputedMetrics'][0][0]) == 9

fairlearn.metrics._group_metric_set._create_group_metric_set fails for regression since y_true contains values other than [0, 1]
#### Describe the bug
I'm trying to run some fairness analysis on some of our models, where we can produce either classification or regression models. With regression, I found that it was failing to calculate metrics as it was expecting y_test to have values of only 0 and 1, which isn't true for our regression dataset. Strangley, even if I sent in a dummy y_test which only contained 0s and 1s, it still failed with the same error.

#### Steps/Code to Reproduce
```
X_test = <real test data for my model>
y_test = <real test data for my model> 
# I tried synthesizing a y_test with only 0 and 1, and it still failed
y_test = pd.DataFrame(0, index=np.arange(164), columns=["ERP"])
y_test['ERP'][0] = 1
y_test
y_pred = model.predict(X_test)
dash_dict = _create_group_metric_set(
                                            y_true=y_test.values,
                                            predictions=y_pred,
                                            sensitive_features=["column_0"],
                                            prediction_type="regression"
    )
```

#### Expected Results
We would expect to get the dashboard dict returned for this regression model instead of getting an exception.

#### Actual Results
Traceback (most recent call last):
  File "fairness.py", line 430, in <module>
    validate_model_ids
  File "fairness.py", line 126, in run_fairness_analysis_single_model
    prediction_type=prediction_type
  File "site-packages\fairlearn\metrics\_group_metric_set.py", line 164, in _create_group_metric_set
    result[_Y_TRUE], prediction, sensitive_features=g[_BIN_VECTOR])
  File "site-packages\fairlearn\metrics\_metric_frame.py", line 151, in __init__
    self._by_group = self._compute_by_group(func_dict, y_t, y_p, sf_list, cf_list)
  File "site-packages\fairlearn\metrics\_metric_frame.py", line 169, in _compute_by_group
    return self._compute_dataframe_from_rows(func_dict, y_true, y_pred, rows)
  File "site-packages\fairlearn\metrics\_metric_frame.py", line 194, in _compute_dataframe_from_rows
    curr_metric = func_dict[func_name].evaluate(y_true, y_pred, mask)
  File "site-packages\fairlearn\metrics\_function_container.py", line 103, in evaluate
    return self.func_(y_true[mask], y_pred[mask], **params)
  File "\site-packages\fairlearn\metrics\_balanced_root_mean_squared_error.py", line 36, in _balanced_root_mean_squared_error
    raise ValueError(_Y_TRUE_NOT_0_1)
ValueError: Only 0 and 1 are allowed in y_true and both must be present

#### Versions

I'm running this on a Linux VM in Azure running pyhton 3.6.8 with latest version of fairlearn from pypi. 

Thanks!

test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_regression_prediction_type test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_probability_prediction_type
test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke[ensure_list] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke[ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke[ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke[ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke[ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke_string_groups[ensure_list] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke_string_groups[ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke_string_groups[ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke_string_groups[ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_smoke_string_groups[ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestProcessSensitiveFeatures::test_result_is_sorted test/unit/metrics/test_create_group_metric_set.py::TestProcessPredictions::test_smoke[ensure_list] test/unit/metrics/test_create_group_metric_set.py::TestProcessPredictions::test_smoke[ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestProcessPredictions::test_smoke[ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestProcessPredictions::test_smoke[ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestProcessPredictions::test_smoke[ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestProcessPredictions::test_results_are_sorted[ensure_list-ensure_list-ensure_list] 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test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_series-ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_series-ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_series-ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_series-ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_dataframe-ensure_list] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_dataframe-ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_dataframe-ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_dataframe-ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_series-ensure_dataframe-ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_list-ensure_list] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_list-ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_list-ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_list-ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_list-ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_ndarray-ensure_list] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_ndarray-ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_ndarray-ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_ndarray-ensure_series] 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test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_dataframe-ensure_ndarray] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_dataframe-ensure_ndarray_2d] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_dataframe-ensure_series] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_round_trip_1p_1f[ensure_dataframe-ensure_dataframe-ensure_dataframe] test/unit/metrics/test_create_group_metric_set.py::TestCreateGroupMetricSet::test_specific_metrics