A:{At least 2 heads is observed} B:{The number of heads is odd} Use the knowledge of marginal, union, intersection and conditional probabilities to describe the probability that 3 heads is observ using events A and B. O P(ANB) O P(AUB) O P(B) O P(A)

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A fair coin is tossed 4 times and the events A and B are defined as follows:
A:{At least 2 heads is observed}
B: {The number of heads is odd}
Use the knowledge of marginal, union, intersection and conditional probabilities to describe the probability that 3 heads is observed,
using events A and B.
O P(ANB)
O P(AUB)
O P(B)
O P(A)
Transcribed Image Text:A fair coin is tossed 4 times and the events A and B are defined as follows: A:{At least 2 heads is observed} B: {The number of heads is odd} Use the knowledge of marginal, union, intersection and conditional probabilities to describe the probability that 3 heads is observed, using events A and B. O P(ANB) O P(AUB) O P(B) O P(A)
Expert Solution
Step 1: Given Information:

It is given that the sample space of tossing four coin is:

S = {HHHH, TTTT, HHHT, HHTH, HTHH, THHH, HHTT, HTTH, HTHT, THHT, THTH, TTHH, HTTT, THTT, TTHT, TTTH}

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