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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 108108 different movies last year. Of those, 1515 movies were action movies.\newlineBased on this data, what is a reasonable estimate of the probability that the next movie is an action movie?\newlineChoose 11 answer:\newline(A) 10893\frac{108}{93}\newline(B)93108\frac{93}{108}\newline(C)15108\frac{15}{108}\newline(D)1593\frac{15}{93}

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Q. The Cinemania theater showed 108108 different movies last year. Of those, 1515 movies were action movies.\newlineBased on this data, what is a reasonable estimate of the probability that the next movie is an action movie?\newlineChoose 11 answer:\newline(A) 10893\frac{108}{93}\newline(B)93108\frac{93}{108}\newline(C)15108\frac{15}{108}\newline(D)1593\frac{15}{93}
  1. Understand probability concept: Understand the concept of probability. The probability of an event is the ratio of the number of favorable outcomes to the total number of possible outcomes.
  2. Identify favorable outcomes: Identify the number of favorable outcomes.\newlineThe number of action movies shown last year is given as 1515. These are our favorable outcomes.
  3. Identify total possible outcomes: Identify the total number of possible outcomes.\newlineThe total number of movies shown last year is given as 108108. These are our possible outcomes.
  4. Calculate probability: Calculate the probability.\newlineThe probability that the next movie is an action movie is the number of action movies divided by the total number of movies.\newlineProbability = Number of action movies / Total number of movies = 15108\frac{15}{108}
  5. Simplify fraction: Simplify the fraction if possible.\newlineThe fraction 15108\frac{15}{108} cannot be simplified further as 1515 and 108108 have no common factors other than 11.
  6. Match with given options: Match the calculated probability with the given options.\newlineThe calculated probability is 15108\frac{15}{108}, which matches option (C)(C).

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