3. Conditional probability Complete the blanks in the following question with the appropriate answer. Imagine flipping three fair coins and recording the number of heads as X. Then you roll X six-sided dice and define Y = the total of dice roll (or 0 if no dice were rolled). Please complete the sentences below using decimal numbers, rounded (if necessary) to four decimal places and with a leading zero, e.g. 3.1415, 0.6, or -5 The probability that X>0 is The probability that Y<4 is The probability that Y<4 given that X>0 is The probability that X>0 given that Y<4 is

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