# Odds are used in gambling games to make them fair. For example, if you rolled a die

## Question:

fair game. In most gambling games, the odds given are not fair. For example, if the odds of winning are really 20 to 1, the house might offer 15 to 1 in order to make a profit. Odds can be expressed as a fraction or as a ratio, such as , 5:1, or 5 to 1. Odds are computed in favor of the event or against the event. The formulas for odds are

In the die example,

Odds in favor of a 6 = 1 / 6 / 5 / 6 = 1 / 5 or 1:5

Odds against a 6 = 5 /6 / 1 / 6 = 5 / 1 or 1:5

Find the odds in favor of and against each event.

a. Rolling a die and getting a 2

b. Rolling a die and getting an even number

c. Drawing a card from a deck and getting a spade

d. Drawing a card and getting a red card

e. Drawing a card and getting a queen

f. Tossing two coins and getting two tails

g. Tossing two coins and getting one tail

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