The probability that a man smokes cigarettes is 0.5 and that he drinks alcohol is 0.7 if the probability that he smokes cigarettes or drinks or both is 0.8.caculate the probability that he smokes cigarettes and drinks alcohol

Answer 1

Let's denote the probability that a man smokes cigarettes as P(C) and the probability that he drinks alcohol as P(A). We are given:

P(C) = 0.5
P(A) = 0.7
P(C or A) = 0.8

We are required to calculate P(C and A). To do this, we can use the formula:

P(C and A) = P(C) + P(A) - P(C or A)

Substituting the given values, we have:

P(C and A) = 0.5 + 0.7 - 0.8
= 1.2 - 0.8
= 0.4

Therefore, the probability that the man smokes cigarettes and drinks alcohol is 0.4.