Question

Two events, A and B, are such that P(A) = .45, P(B) = .65, P(A intersection B) = .25, determine P(B ∩ Aᶜ)

Answer 1

To find P(B ∩ Aᶜ), subtract the probability of A and B from the probability of B.

Step-by-step explanation:

Probability is a branch of mathematics that deals with the likelihood or chance of events occurring. It is a measure of the likelihood that a particular event will happen. The probability of an event is a number between 0 and 1, where 0 indicates that the event will not occur, and 1 indicates that the event will definitely occur.

To find P(B ∩ Aᶜ), we can use the formula P(B ∩ Aᶜ) = P(B) - P(B ∩ A).

Given that P(B) = 0.65 and P(B ∩ A) = 0.25, we substitute the values into the formula to get:

P(B ∩ Aᶜ) = 0.65 - 0.25 = 0.40.