Given independent events A and B such that P (A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?

(A) P (A/B) = 0

(B) P (B|A) = 0.3

(C) P (AB) = 0.5

(D) P (AUB) = 0.65

(E) P (AUB) = 0.80

Question

Mathematics

Myers

4 October, 07:33

Given independent events A and B such that P (A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?

(A) P (A/B) = 0

(B) P (B|A) = 0.3

(C) P (AB) = 0.5

(D) P (AUB) = 0.65

(E) P (AUB) = 0.80

+2

Answers (1)

Know the Answer?

Lamont Mann · Answer 1

(D) P (AUB) = 0.65

Step-by-step explanation:

Since A and B are independent:

P (A ^ B)

= P (A) * P (B)

= 0.3 * 0.5 = 0.15

P (AUB) = P (A) + P (B) - P (A^B)

= 0.3 + 0.5 - 0.15

= 0.65

Given independent events A and B such that P (A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?(A) P (A/B) = 0(B) P (B|A) = 0.3(C) P (AB) = 0.5(D) P (AUB) = 0.65(E) P (AUB) = 0.80

Given independent events A and B such that P (A) = 0.3 and P (B) = 0.5, which of the following is a correct statement?

(A) P (A/B) = 0

(B) P (B|A) = 0.3

(C) P (AB) = 0.5

(D) P (AUB) = 0.65

(E) P (AUB) = 0.80