Question

suppose that a and b are independent events with p(a) = 0.5 and p(b) = 0.3. use r to find the following. (a) find p(a ∪ b).

Answer 1

To find P(A ∪ B), use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A) is the probability of event A, P(B) is the probability of event B, and P(A ∩ B) is the probability of both A and B. Substituting the given values, the answer is 0.65.

Step-by-step explanation:

To find P(A ∪ B), we can use the formula P(A ∪ B) = P(A) + P(B) - P(A ∩ B), where P(A) represents the probability of event A occurring, P(B) represents the probability of event B occurring, and P(A ∩ B) represents the probability of both events A and B occurring together.

Given that A and B are independent events, P(A ∩ B) = P(A) * P(B). Therefore, P(A ∪ B) = P(A) + P(B) - P(A) * P(B).

Substituting the given values, we have P(A ∪ B) = 0.5 + 0.3 - (0.5 * 0.3) = 0.8 - 0.15 = 0.65.