Question

click on the cell with each outcome. use the paint bucket tool to color the cell blue if player 1 wins or yellow if player 2 wins.
( /2 points)

1. answer the questions for game c:

a. what is the probability of player 1 winning? ( /1 point)
b. what is the probability of player 2 winning? ( /1 point)
c. is this game fair? explain your answer. ( /2 points)
d. how is the sample space for game c different from the sample space for game b? does this change the fairness of the game? ( /2 points)

Explanation:

To solve these questions, we need the details of Game C (e.g., the possible outcomes, how Player 1 and Player 2 win). Since the game's specific rules/outcomes aren't provided here, we can't calculate the probabilities or determine fairness.

For example, if Game C involved rolling a die (sample space {1,2,3,4,5,6}) and Player 1 wins on even numbers, Player 2 on odd:

• a. Probability Player 1 wins: $\frac{3}{6} = \frac{1}{2}$
• b. Probability Player 2 wins: $\frac{3}{6} = \frac{1}{2}$
• c. Fair, as both have $\frac{1}{2}$ chance.
• d. If Game B had a different sample space (e.g., coin flip {H,T}), Game C’s sample space (die) is larger, but fairness depends on win probabilities.

Please share the rules of Game C (e.g., what actions determine a win, possible outcomes) to get precise answers.

Answer:

To solve these questions, we need the details of Game C (e.g., the possible outcomes, how Player 1 and Player 2 win). Since the game's specific rules/outcomes aren't provided here, we can't calculate the probabilities or determine fairness.

For example, if Game C involved rolling a die (sample space {1,2,3,4,5,6}) and Player 1 wins on even numbers, Player 2 on odd:

• a. Probability Player 1 wins: $\frac{3}{6} = \frac{1}{2}$
• b. Probability Player 2 wins: $\frac{3}{6} = \frac{1}{2}$
• c. Fair, as both have $\frac{1}{2}$ chance.
• d. If Game B had a different sample space (e.g., coin flip {H,T}), Game C’s sample space (die) is larger, but fairness depends on win probabilities.

Please share the rules of Game C (e.g., what actions determine a win, possible outcomes) to get precise answers.