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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5475caed-d35f-41e0-b478-550beb79d539%2F90577612-002c-4c20-b417-b2931a09b97e%2F9luk5t6_processed.png&w=3840&q=75)
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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