Probability and Counting Principles

How many ways can you arrange 2 letters picked from A, B, C, D? (Order matters)

• 6

• 9

• 12

• 15

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

• 1 out of 52
• 13 out of 52
• 26 out of 52
• 4 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%

__________ is an event in which the outcome of one event does not influence the outcome of the other event.

• Independent event

• Dependent event

• Classical probability

• Mutually exclusive

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

• 6/6
• 5/6
• 4/6
• 1/6

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

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

• True

• False

How many ways can a club select a president, vice president, and a secretary from a group of 5 people?

• 120

• 60

• 15

• 30

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

How many identification codes are possible when 3 letters are used? No letter can be repeated.

• 15,600

• 17,576

• 7,800

• 8,838