QuestionFind $P(A$ or $B)$ given $P(A)=0.50$ , $P(B)=0.30$ , and $P(A$ and $B)=0.15$ . Options: A. 0.80 B. 0.18 C. 0.20 D. 0.65

Studdy Solution

STEP 1

Assumptions1. The probability of event A,(A), is0.50. The probability of event B,(B), is0.303. The probability of both events A and B occurring,(A and B), is0.15

STEP 2

The probability of either event A or event B occurring,(A or B), can be calculated using the formula $(A \, or \, B) =(A) +(B) -(A \, and \, B)$

STEP 3

Now, plug in the given values for(A),(B), and(A and B) into the formula.
$(A \, or \, B) =0.50 +0.30 -0.15$

STEP 4

Calculate the value of(A or B).
$(A \, or \, B) =0.50 +0.30 -0.15 =0.65$ So, the probability of either event A or event B occurring is0.65. The correct answer is D.0.65.

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