# Probability and Statistics

# Odds Exercises

### Example 1

What are the odds in favor of each event?

Getting at least one tail after flipping 2 fair coins.

### Example 2

What are the odds in favor of each event?

Picking a face card (J, Q, K) at random from a deck of cards (no jokers).

### Example 3

What are the odds in favor of each event?

Rolling a number greater than 3 on a fair die.

### Example 4

What are the odds against each event?

Picking a king at random from a deck of cards (no jokers).

### Example 5

What are the odds against each event?

Flipping heads with a fair coin.

### Example 6

What are the odds against each event?

Rolling 1 or 2 on a fair dice.

### Example 7

Find the odds in favor of an event whose probability is .

### Example 8

Find the odds in favor of an event whose probability is .

### Example 9

Find the odds in favor of an event whose probability is .

### Example 10

Find the odds in favor of an event whose probability is .

### Example 11

Find the odds in favor of an event whose probability is .

### Example 12

Find the odds in favor of an event whose probability is .

### Example 13

Find the probability of an event if the odds in its favor are 5:6.

### Example 14

Find the probability of an event if the odds in its favor are 6:2.

### Example 15

Find the probability of an event if the odds in its favor are 11:45.

### Example 16

Find the probability of an event if the odds in its favor are 2:3.

### Example 17

Find the probability of an event if the odds in its favor are 49:12.

### Example 18

Find the probability of an event if the odds in its favor are 99:1.