Questions: Joe is playing a game with a regular die. If the number that turns up is even, he will gain 5 times the number that comes up. If it is odd, he

Solution Steps

Identify the rules of the game Joe is playing with a regular die. A regular die has six faces numbered from 1 to 6. Determine the outcomes based on whether the number rolled is even or odd.

List the even and odd numbers on a die:

• Even numbers: 2, 4, 6
• Odd numbers: 1, 3, 5

For each even number, calculate the gain as 5 times the number that comes up:

• If 2 is rolled, gain = \(5 \times 2 = 10\)
• If 4 is rolled, gain = \(5 \times 4 = 20\)
• If 6 is rolled, gain = \(5 \times 6 = 30\)

Final Answer