An animation studio works with movie theaters to learn more about the people who see its new movie. It finds that the probability that a moviegoer sees its movie on any given day is 0.14. The probability that a moviegoer is an adult is 0.64. The studio also discovers that these two events are independent.

Question

What is the probability that a moviegoer who is an adult sees the animation studio's latest movie on any given day?
Write your answer as a decimal rounded to the nearest hundredth.

Answer 1

To find the probability that a moviegoer who is an adult sees the animation studio's latest movie on any given day, we can use the concept of independent events.

Let:

• \( P(S) \) = Probability that a moviegoer sees the movie = 0.14
• \( P(A) \) = Probability that a moviegoer is an adult = 0.64

Since the two events are independent, we can find the conditional probability \( P(S | A) \) (the probability that a moviegoer sees the movie given that they are an adult) as follows:

\[ P(S | A) = P(S) \]

Thus, the probability that a moviegoer who is an adult sees the movie is still \( 0.14 \).

So, rounding this to the nearest hundredth gives:

\[ \text{Probability} = 0.14 \]

Therefore, the answer is \( \boxed{0.14} \).