Question

1. find p(a u b). assume that events a and b are not mutually exclusive events. hint: p(a u b) = p(a) + p(b) - p(a ∩ b). p(a) = 0.64 p(b) = 0.57 p(a ∩ b) = 0.49

Explanation:

Step1: Recall the formula

We use the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$.

Step2: Substitute the given values

Substitute $P(A) = 0.64$, $P(B)=0.57$ and $P(A\cap B)=0.49$ into the formula. So $P(A\cup B)=0.64 + 0.57- 0.49$.

Step3: Perform the arithmetic

First, add $0.64$ and $0.57$: $0.64+0.57 = 1.21$. Then subtract $0.49$ from $1.21$: $1.21-0.49=0.72$.

Answer:

$0.72$