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Given that P(A or B) = 13, P(A)= 14, and P(A and B) = 18…. find P(B)Use the addition rule

User Alemjerus
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1 Answer

2 votes

Answer:

P(B)=17

Explanation:

Given:

• P(A or B) = 13

,

• P(A)= 14

,

• P(A and B) = 18

We want to find the value of P(B).

By the addition rule of probability, if A and B are two events in a probability experiment, then the probability that either one of the events will occur is:


P(A\text{ or B\rparen}=P(A)+P(B)-P(A\text{ and }B)

Substitute the given values:


13=14+P(B)-18

Then solve for P(B):


\begin{gathered} P(B)=13+18-14 \\ P(B)=17 \end{gathered}

The value of P(B) is 17.

User Krupal Tharwala
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