Question

6. 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 will lose 10 times the number that comes up. He tosses a 3. Express the results as an integer.

Answer 1

By rolling a 3, Joe looses 10 points.

Explanation:

E: Event of rolling a regular die.

So, the number of possible outcomes = {1,2,3,4,5,6} = 6

Now, if the Even Number comes up, Score = + 5 times the number

If the odd number shows up: The score is - 10

Now, when the die is rolled, the outcome is 3.

Here, as 3 is NOT DIVISIBLE by 2, hence, 3 is a ODD NUMBER.

So, by the rules Joe will loose 10 points.