Question

Alice and bob play a simple dice game. they take turns rolling a single die, starting with alice, until one of them wins by getting a 6. in the end it turns out that bob won. what is the probability that he won on his first roll

Answer 1

The probability he won on his first roll is 1/6.

Answer 2

Bob has 16.67% of winning the game at his first roll.

Explanation:

According to the problem, they are playing with a simple dice, which means it has 6 possible outcomes 1, 2, 3, 4, 5 and 6.

The one that gets 6 wins.

To find the probability of winning the first Bob's roll, we just need to find the simple probability of getting 6, which is

`P=(1)/(6)`

Therefore, Bob has 16.67% of winning the game at his first roll.