# Probability and Statistics

# Outcomes and Events Exercises

### Example 1

Determine the sample space for the following experiment:

Choosing one of the four possible aces from a standard deck of cards.

### Example 2

Determine the sample space for the following experiment:

Choosing a club from a standard deck of cards.

### Example 3

Determine the sample space for the following experiment:

Flipping two coins at the same time.

### Example 4

Write the set for the following event:

Rolling an odd number on a standard 6-sided die.

### Example 5

Write the set for the following event:

Getting heads on a coin flip.

### Example 6

Write the set for the following event:

Getting exactly one head after flipping two coins.

### Example 7

How many possible outcomes are there for the experiment of choosing rock, paper, or scissors at random?

### Example 8

How many possible outcomes are there for the experiment of choosing a color of the rainbow at random? What is the sample space?

### Example 9

What is the probability of rolling a 5 with a fair die?

### Example 10

What is the probability of rolling either 1 or 2 with a fair die?

### Example 11

What is the probability of drawing the ace of spades at random from a deck of cards (no jokers)? The one in your sleeve doesn't count.

### Example 12

What is the probability of drawing a king at random from a deck of cards (no jokers)? The one in your right pant leg doesn't count.

### Example 13

What is the probability of drawing a king at random from a deck of cards (with jokers)?

### Example 14

What is the probability of landing at least one tail with two fair coin flips?

### Example 15

What is the probability of landing exactly two heads with three fair coin flips?