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2 answers:
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Answer: a) 0.15
b) 0.300
Step-by-step explanation:
Given : The probability that John watches a certain television show : P(John)=0.5
The probability that Jane watches the show is : P(Jane)= 0.5.
The probability that John watches the show, given that Jane does
=P(John | Jane)=0 .3.
Using Condition probability formula , we have
Similarly,
a) The probability that both John and Jane watch the show will be :-
b) The probability that Jane watches the show, given that John does will be :-
Hence, the probability that Jane watches the show, given that John does. = 0.300