# Worksheet: Estimating Probability Using Simulations

In this worksheet, we will practice expressing simulation data both numerically and graphically and estimating the probability of the desired outcome.

**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
- B
- C
- D
- E

**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
- B
- C
- D
- E

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
- B
- C
- D
- E

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

- A
- B
- C
- D