Probability Homework

Question

Which of the following pairs of events are mutually exclusive?

-Drawing and Ace or Diamond from a standard deck of 52 playing cards

-Rolling an even number or a multiple of 5 on a six sided dice

-Drawing a jack or face card from a standard deck of 52 playing cards

-Choosing a number from 1 to 10 that is an odd number or a prime number

Answer 1

Rolling an even number or a multiple of 5 on a six sided dice.

You can't have an even number that is a multiple of 5. For example, 2, 4, and 6. 5 is the only number that can have a multiple of 5.

P(even number or multiple of 5) = P(even number) + P(multiple of 5) = (3/6) + (1/6) = 2/3 = 0.667