Question

Given P(A) = 0.3, P(B) 0.63 and P(BA) = 0.79, find the value of

Answer 1

Answer:

P(A and B) = 0.14.

Step-by-step explanation:

Venn probabilities:

Suppose we have two events, A and B. The probability P(A and B) is given by:

$P(A \cap B) = P(A) + P(B) - P(A \cup B)$

In which $P(A \cup B)$ is P(A or B).

In this question:

P(A) = 0.3, P(B) = 0.63, P(A or B) = 0.79. So

$P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.3 + 0.63 - 0.79 = 0.93 - 0.79 = 0.14$

So

P(A and B) = 0.14.