Question

12.- The probability of a certain person going out for breakfast is 0.40 and the probability that if he goes out for breakfast he spends more than $ 50 pesos is 0.75. What is the probability that he will go out for breakfast and spend more than $ 50 pesos?

A= 0.3

Answer 1

P(Going out for breakfast) = 0.40

P(Spends more than $50 | Goes out for breakfast) = 0.75

We have to calculate P(Go out for breakfast AND spends more than $50) = ?

Using conditional probability formula, P(A | B) = P(A and B) / P(B)

Therefore ,

P(Spends more than $50 | Goes out for breakfast) = P(Go out for breakfast AND spends more than $50) /

P(Going out for breakfast)

0.75 = P(Go out for breakfast AND spends more than $50) / 0.40

P(Go out for breakfast AND spends more than $50) = 0.75 * 0.40

= 0.3