Question

Dear Mr. John i have an extra question: d) Find the probability that at most one member of a married couple will watch the show.

Answer 1

Answer on Question #82887 – Math – Statistics and Probability

The probability that a married man watches a TV show is 0.4 and the probability that a married woman watches the show is 0.5. The probability that a man watches the show, given his wife does, is 0.7. Find the probability that:

a) a married couple watches the show

b) a wife watches the show given that her husband does;

c) at least 2 person of a married couple will watch the show.

Question

Dear Mr. John I have an extra question: d) Find the probability that at most one member of a married couple will watch the show.

Solution

$$P(\text{at most 1 watch}) = 1 - P(\text{M and W}).$$ $$P(\text{M and W}) = P(\text{M} | \text{W}) * P(\text{W}) = 0.7 * 0.5 = 0.35.$$

Thus, $P(\text{at most 1 watch}) = 1 - 0.35 = 0.65$.

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