Question

If events A and B are independent with P(A) = 0.2 and P(B) = 0.4, what is the probability of the union of A and B?

1) 0.6
2) 0.8
3) 0.2
4) 0.4

Answer 1

To find the probability of the union of events A and B, use the formula P(A OR B) = P(A) + P(B) - P(A AND B). For independent events, P(A AND B) = P(A) * P(B). Substitute the given probabilities into the formula to find the probability of the union of events A and B.

Step-by-step explanation:

To find the probability of the union of events A and B, we need to use the formula P(A OR B) = P(A) + P(B) - P(A AND B).

Since A and B are independent events, P(A AND B) = P(A) * P(B).

Given that P(A) = 0.2 and P(B) = 0.4, we can substitute the values into the formula: P(A OR B) = 0.2 + 0.4 - (0.2 * 0.4) = 0.6 - 0.08 = 0.52.

Therefore, the probability of the union of events A and B is 0.52.