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The Cinemania theater showed 108 different movies last year. Of those, 15 movies were action movies.
Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?
Choose 1 answer:
(A)
(108)/(93)
(B)
(93)/(108)
(c)
(15)/(108)
(D)
(15)/(93)

The Cinemania theater showed $108$ different movies last year. Of those, $15$ movies were action movies. $\newline$ Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie? $\newline$ Choose $1$ answer: $\newline$ (A) $\frac{108}{93}$ $\newline$ (B) $\frac{93}{108}$ $\newline$ (C) $\frac{\mathbf{1 5}}{108}$ $\newline$ (D) $\frac{15}{93}$

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Experimental probability

Full solution

Q. The Cinemania theater showed

108

different movies last year. Of those,

15

movies were action movies.

\newline

Based on this data, what is a reasonable estimate of the probability that the next movie is an action movie?

\newline

Choose

1

answer:

\newline

(A)

\frac{108}{93}

\newline

(B)

\frac{93}{108}

\newline

(C)

\frac{\mathbf{1 5}}{108}

\newline

(D)

\frac{15}{93}

Understand Probability: Understand the concept of probability. Probability is the measure of the likelihood that an event will occur. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Identify Favorable Outcomes: Identify the number of favorable outcomes. $\newline$ The number of favorable outcomes in this case is the number of action movies shown, which is $15$ .
Identify Total Outcomes: Identify the total number of possible outcomes. $\newline$ The total number of possible outcomes is the total number of different movies shown, which is $108$ .
Calculate Probability: Calculate the probability. $\newline$ The probability that the next movie is an action movie is the number of action movies divided by the total number of movies. $\newline$ So, the probability is $\frac{15}{108}$ .

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