62.3k views
1 vote
There are two known issues with a certain model of new car. The first issue, A, occurs with a probability of P(A)=0.1. B is another known issue with the car. If it is known that either event occurs with a probability of P(A OR B)=0.93, and that both events occur with a probability of P(A AND B)=0.07, calculate P(B).

1 Answer

5 votes

Answer:


P(B) = 0.90

Explanation:

Given


P(A) = 0.1


P(A\ or\ B) = 0.93


P(A\ and\ B) = 0.07

Required


P(B)

To do this, we make use of:


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

Make P(B) the subject


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

So, we have:


P(B) = 0.93 + 0.07 - 0.1


P(B) = 0.90

User Kenwen
by
8.0k 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