Question

question 2 of 10 a and b are mutually exclusive events. p(a) = 0.60 and p(b) = 0.30. what is p(a or b)? a. 0.72 b. 0.15 c. 0.90 d. 0.18

Explanation:

Step1: Recall the formula for mutually exclusive events

For mutually exclusive events \( A \) and \( B \), the probability of \( A \) or \( B \) occurring is given by \( P(A \cup B) = P(A) + P(B) \) because \( P(A \cap B) = 0 \) (they can't happen at the same time).

Step2: Substitute the given values

We know that \( P(A) = 0.60 \) and \( P(B) = 0.30 \). Substituting these into the formula, we get \( P(A \cup B) = 0.60 + 0.30 \).

Step3: Calculate the result

\( 0.60 + 0.30 = 0.90 \).

Answer:

C. 0.90