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, ННTН, ННТТ, НТНН, НТНТ, НTTH, HTTT, THHΗ, THHT, THΤH, THT, THΗ, TΤΗT, TITH, TTTT . 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

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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
Transcribed Image 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
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