50.0k views
3 votes
Do the following probabilities make sense? Explain.

P(A) = 1/5, P(B) = 1/3, and P(A or B) = 9/15
A. Yes; P(A or B) = P(A) + P(B)
B. Yes; P(A and B) = P(A) + P(B) - P(A or B)
C. No; neither P(A) nor P(B) can be greater than P(A or B).
D. No; P(A or B) cannot be greater than either of P(A) and P(B).

User Yean
by
7.8k points

1 Answer

5 votes

Answer:

P(A) = 1/5, P(B) = 1/3

P(A or B) = P(A) + P(B) - P(A and B)

9/15 = 5/15 + 3/15 - x

9/15 = 8/15 - x

x = -1/15 (which does not make sense)

D. No; P(A or B) cannot be greater than either of P(A) or P(B).

User Rejeev Divakaran
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories