Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers

Question

3 months ago

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Information was collected on those who attended the opening of a new movie. The analysis found that 56 percent of the moviegoers

were female, 26 percent were under age 25, and 17 percent were females under the age of 25. Find the probability that a moviegoer is either female or under age 25.

Mathematics

1 answer:

tester [12.3K] · Answer 1 · 2026-03-02T08:16:36+03:00

Answer: 0.65

Step-by-step explanation:

Define A as female moviegoers and B as those under 25 years old.

As provided, we know that

P(A)=0.56 P(B)=0.26 P(A∩B)=0.17

Applying the formula,

$P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\ P(A\cup B)=0.56+0.26-0.17=0.65$

Therefore, the probability that a moviegoer is either a female or below 25 years old is 0.65.