Practice: Estimating Probability Using Simulations

Isabella designed the following simulation to model the outcomes of a game at a fair.

Each trial will model one round of the game. A trial will consist in randomly generating a number between 1 and 10. The number 1 will represent winning first prize, the numbers 2 and 3 second prize, the numbers 4, 5, and 6 third prize, and the rest of the numbers will represent losing the game.

What is the theoretical probability of winning the second prize in the game?

  • A10%
  • B25%
  • C20%
  • D30%
  • E40%

She used a random number generator to simulate 50 games, and the frequencies of each number are given in the table. Find the experimental probability of winning the second prize.

  • A68%
  • B18%
  • C34%
  • D16%
  • E17%

Which bar graph summarizes the experimental probabilities that can be calculated as a result of her simulation?

  • A
  • B
  • C
  • D

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