**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?

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 |

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