Question

Given that events A and B are independent with P(A) = 0.4 and P(B) = 0.25, determine the value of P(A and B), rounding to the nearest thousandth, if necessary.

a) 0.100
b) 0.150
c) 0.040
d) 0.625

Answer 1

The probability of both independent events A and B occurring, with P(A) = 0.4 and P(B) = 0.25, is P(A and B) = 0.1, thus the answer is a) 0.100.

Step-by-step explanation:

The subject question asks for the probability of both events A and B occurring given that they are independent events with P(A) = 0.4 and P(B) = 0.25. The formula for finding the probability of two independent events occurring together is P(A and B) = P(A) × P(B).

Applying the values:

P(A and B) = (0.4) × (0.25)

P(A and B) = 0.1

Therefore, the value is 0.1, which means that option a) 0.100 is the correct answer.