19.1-19.3 logistics

Suppose the probability of selling a car today is 0.34. Find the odds against selling a car today.

First, find the probability that a car will be sold. There are 34 chances out of 100 that a car will be sold. then write in the lowest terms 17/50 now find the probability that a car will not be sold 33/50 therefore the odds against selling a car today are 33:17

Suppose that the probability that all the parts needed to assemble a bookcase are included in the carton is five sixths 5 - 6

how to solve: 1.)P(the carton does not contain all the ​parts)= 1/6 2.)Substitute the probabilities into the formula for the odds in favor of an event. P(event occurs)/P (event fails to occur)= (5/6)divided by (1/6) which then turns into 5/6 multiplied by 6/1 = 5 therefore, the odds in favor of the event are 5 to 1 or 5:1

A die is tossed. Find the odds against rolling a number greater than 2. The odds against an event is the ratio of the probability the event fails to occur to the probability the event occurs.

how to solve: the probability of rolling a number greater than 2 is 4/6 the probability that the even does not occur is 2/6 divide both fractions thus the odds against rolling a number greater than 2 are 1:2

a six sided die is tossed. determine the odds against rolling a 5

the odds are 5:1

Suppose that the probability that all the parts needed to assemble a bookcase are included in the carton is 7/9 Determine the odds in favor of the carton including all the needed parts.

the odds are 7:2 refer to the directions above

A card is picked from a standard deck of 52 cards. Determine the odds against and the odds in favor of selecting a king.

the probability of drawing a king is 1/13 The probability of not drawing a king is 12/13 the odds against drawing a king is 12/13 divided by 1/13 = 12/1 the odds against drawing a king are 12:1 the odds in favor of drawing a king are 1:12

Casey is going to wear a gray sport coat and is trying to decide what tie he should wear to work. In his​ closet, he has 23 ​ties, 11 of which he feels go well with the sport coat. If Casey selects one tie at​ random, determine the probability and the odds of the tie going well or not going well with the sport coat.

the probability the ties goes well with the jacket is 11/23 the probability the tie will not go well with the jacket is 12/23 the odds against the tie going well with the jacket is 12:11 the odds in favor of the tie going well with the jacket is 11:12

if the probability that an event will occur is 1/3, then the probability that the event will not occur is 2/3, and the odds in favor of the event occurring are

1:2

If the odds of a horse winning a horse race are 1:5, then the odds against that horse winning the race are

5:1

The ratio of the probability that an event will fail to occur to the probability that the event will occur is called the odds

against an event

If the odds in favor of Chris winning the election are 8​:3​, then what is the probability that a.) Chris wins b.) Chris does not win odds in favor is a ratio of success to failure. so, to convert odds to probability use the following formula.

how to answer: 1. odds in favor= wins/doesn't win 2. 8+3=11 for an appropriate ratio 3.now you have 8/11 for in favor and 3/11 for not in favor