Question

P(A)= 0.50, P(B) = 0.30, and P(A and B) = 0.15. What is P(A or B)?B. 0.65C. 0.20D. 0.18A. 0.80

Answer 1

Step 1:

In this question, we are given the following:

P(A)= 0.50, P(B) = 0.30, and P(A and B) = 0.15.

What is P(A or B)?

Step 2:

The details of the solution are as follows:

`\begin{gathered} P(\text{ A or B \rparen = P \lparen A U B \rparen = P \lparen A\rparen + P\lparen B\rparen - P \lparen A n B \rparen} \\ Then,\text{ we have that:} \\ P(A\text{ or B \rparen = 0. 50 + 0.30 - 0.15} \\ P(\text{ A or B \rparen = 0.80 - 0.15} \end{gathered}`
`P(\text{ A or B \rparen = 0. 65}`

CONCLUSION:

The final answer is:

`P(\text{ A or B \rparen = 0. 65}`