Probability Counting Rule

What is the probability of rolling a 5 on a fair six-sided die?

• 1/4

• 1/3

• 1/6

• 1/5

If you have 5 red marbles, 3 blue marbles, and 2 green marbles in a bag, what is the probability of drawing a blue marble?

• 3/10

• 4/7

• 1/5

• 2/10

If you have 7 different colored shirts and you want to wear 2, how many different combinations of shirt colors can you have?

• 35

• 14

• 21

• 10

Find the probability of drawing a 10 from a standard deck of 52 cards.

• out of 52

• out of 52

• out of 52

• out of 52

A bag contains 30 pieces of candy. There are 15 grape, 7 cherry, 3 lemon, 5 strawberry. What is the probability of drawing a lemon?

• 1/15

• 1/10

• 3/30

• 30%

If you are picking a card randomly from a deck of cards, the events of picking an "ace" and picking a ‘3’ are mutually exclusive.

• True

• False

Nate is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can Nate schedule these 2 activities?

• 84

• 42

• 21

• 7

Find the probability of rolling greater than a 1 on a single die.

• 6/6

• 5/6

• 4/6

• 1/6

When rolling a single die, the events of rolling an even and an odd number are mutually exclusive.

• True

• False

What is the probability of drawing 3 5's from a standard deck of cards, without replacement?

• 1/5,525

• 6/33,150

• 3/52

• 1/13