Question

Two persons A and B are rolling a die on the condition that the person who gets 3 will win the game. If A starts the game, then:

(a) A has a higher chance of winning.

(b) B has a higher chance of winning.

(c) Both A and B have an equal chance of winning.

(d) The outcome depends on the rolling strategy.

Answer 1

Both A and B have an equal chance of winning.

Step-by-step explanation:

The question states that two players, A and B, are rolling a die with the condition that the first person to roll a 3 wins the game. If A starts the game, we need to determine who has a higher chance of winning.

Since there is only one 3 on the die, the probability of A winning on their first roll is 1/6. If A doesn't roll a 3, then B gets a turn. The probability of B winning on their first roll is also 1/6. The game continues in this manner until one of the players rolls a 3.

Therefore, both A and B have an equal chance of winning.