Question

Bill is playing a game of chance in which he rolls a number cube with sides numbered from to . The number cube is fair, so a side is rolled at random.

This game is this: Bill rolls the number cube once. He wins if a is rolled, if a is rolled, and if a is rolled. He loses if a , , or is rolled.

Answer 1

In this game, Bill rolls a fair, six-sided die and wins if a 2, 4, or 6 is rolled. The probability of winning is 3/6 or 1/2.

In this game, Bill rolls a fair, six-sided die once. He wins if a 2, 4, or 6 is rolled, and he loses if a 1, 3, or 5 is rolled. The probability of winning is determined by the number of favorable outcomes (3) divided by the total number of possible outcomes (6). Therefore, the probability of winning is 3/6 or 1/2.