# Question: Odds are used in gambling games to make them fair

Odds are used in gambling games to make them fair. For example, if you rolled a die and won every time you rolled a 6, then you would win on average once every 6 times. So that the game is fair, the odds of 5 to 1 are given. This means that if you bet $1 and won, you could win $5. On average, you would win $5 once in 6 rolls and lose $1 on the other 5 rollsâ€”hence the term

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

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

## Relevant Questions

A single card is drawn from a deck. Find the probability of selecting the following. a. A 4 or a diamond b. A club or a diamond c. A jack or a black card The number of multiple births in the United States for a recent year indicated that there were 128,665 sets of twins, 7110 sets of triplets, 468 sets of quadruplets, and 85 sets of quintuplets. Choose one set of siblings at ...A sales representative who visits customers at home finds she sells 0, 1, 2, 3, or 4 items according to the following frequency distribution. Items sold Frequency 0..........8 1 ............10 2 ..........3 3 ..........2 4 ...The probability that a given tourist goes to the amusement park is 0.47, and the probability that she goes to the water park is 0.58. If the probability that she goes to either the water park or the amusement park is 0.95, ...Sixty-nine percent of U.S. heads of households play video or computer games. Choose 4 heads of households at random. Find the probability that a. None play video or computer games b. All four doPost your question