QUESTION 12 Conditional Probability and Reduced Sample Space Consider a probability experiment in which a coin is flipped 4 times, and the result H or T is recorded for each. The sample space is given...


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QUESTION 12<br>Conditional Probability and Reduced Sample Space<br>Consider a probability experiment in which a coin is flipped 4 times, and the result H or T is recorded for each.<br>The sample space is given here<br>{ НННН, НННТ, ННТН, ННТT, НTНН, НТНТ, HTTH, HTT,<br>ΤHHΗ, THHT, THΤH, TΗTT, TTΗΗ, TTΗT, TTTH, TT<br>Compute each of the following probabilities.<br>a) Find the probability 2 or more consecutive H<br>b) Find the conditional probability 2 or more consecutive H given first 2 tosses are TH<br>c) Find the probability of at least 3 H<br>d) Find the conditional probability of at least 3 H given first two are H<br>

Extracted text: QUESTION 12 Conditional Probability and Reduced Sample Space Consider a probability experiment in which a coin is flipped 4 times, and the result H or T is recorded for each. The sample space is given here { НННН, НННТ, ННТН, ННТT, НTНН, НТНТ, HTTH, HTT, ΤHHΗ, THHT, THΤH, TΗTT, TTΗΗ, TTΗT, TTTH, TT Compute each of the following probabilities. a) Find the probability 2 or more consecutive H b) Find the conditional probability 2 or more consecutive H given first 2 tosses are TH c) Find the probability of at least 3 H d) Find the conditional probability of at least 3 H given first two are H

Jun 02, 2022
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