Question

The image below represents a collection of numbered, colored cubes that have been placed in one of four colored bins. Imagine these props will be used in games of chance, like what you would see at a casino night fund raiser.

To play, a contestant chooses a single cube from one of the bins. You will create the rules that determine whether they win or lose.

• Define rules for four different games. The rules for each game must specify what bin the contestant can choose from and how they win. They may select only ONE CUBE per game, not multiple cubes.
• Calculate the probability of two of your games. The cubes are selected at random. (4 points)

10 12 15 Number of Players 40 60 Player's Net Earnings Game Cost to Play $1.00/game $1.00/win $2.00/game 1.50/win Your #1 Your #2

Answer 1

Answer:

Q1) Explanation-

Below are the 4 rules:

1. If a player picks a green cube from green bin from the green bin then he/she wins the game.
2. If a player picks a cube having number "3" from yellow bin then he/she wins
3. If a player picks a red cube from any bin, he/she wins
4. If a players picks a cube having number "3" from any bin, he/she wins.

Q2) Explanation-

Probability of wining under 1st rule:

No. of green cubes= 1

Total no. of cubes= 6

0.167-16.7% Hence probability of winning

Note: In this rule, we will not consider probability of picking green bin because we are already telling players to pick from green bin only. Hence players will pick only from green bin.

Probability of winning under 2nd rule:

No. of cubes having number "3"= 1

Total no. of cubes= 6

0.167-16.7% Hence probability of winning

Note: In this rule, we will not consider probability of picking yellow bin because we are already telling players to pick from yellow bin. Hence players will pick only from green bin.