Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.

Start Practicing

Worksheet: Simulation in Statistics

Q1:

Noah designed the following simulation to model which dish a customer will order at a restaurant using a spinner.

The results of 150 trials are given in the table.

Outcome Pizza (Spinner Lands on A) Soup (Spinner Lands on B) Pasta (Spinner Lands on C) Salad (Spinner Lands on D)
Frequency 57 21 42 30

Complete the table with the experimental probabilities of each outcome.

Outcome Pizza Soup Pasta Salad
Probability
  • A 3 0 % , 4 2 % , 2 1 % , 5 7 %
  • B 5 7 % , 2 1 % , 4 2 % , 3 0 %
  • C 2 0 % , 2 8 % , 1 4 % , 3 8 %
  • D 3 8 % , 1 4 % , 2 8 % , 2 0 %
  • E 3 8 % , 1 4 % , 4 2 % , 3 0 %

Q2:

Elizabeth 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?

  • A 3 0 %
  • B 1 0 %
  • C 4 0 %
  • D 2 0 %
  • E 2 5 %

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.

Number 1 2 3 4 5 6 7 8 9 10
Frequency 4 8 9 3 2 4 5 5 4 6
  • A 3 4 %
  • B 1 6 %
  • C 6 8 %
  • D 1 7 %
  • E 1 8 %

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

  • A
  • B
  • C
  • D