In a horse race, a trifecta bet is won by correctly selecting the horses that finish first and second and third, and you must select them in the correct order. The 144th running of the Kentucky Derby had a field of 20 horses. How many different trifecta bets are possible?

If you draw a card from a standard 52-card deck, in how many ways can you obtain a card other than a jack or queen?

Refer to Table 4-1. If 1 of the 555 test subjects is randomly selected, find the probability that the subject had a positive test result, given that the subject actually uses drugs. Leave your answer as a fraction.  

In Indiana, a standard car license plate number consists of of 3 digits followed by 3 uppercase letters. How many different license plate numbers are possible if repetition of the characters is allowed?

A roulette wheel has 38 slots. One slot is 0, another is 00, and the others are numbered 1 through 36, respectively. You place a bet that the outcome is an odd number. What are the actual odds against winning?

In Florida’s Cash 5 lottery game, winning the jackpot requires that you select 5 different numbers from 1 to 35, and the same 5 numbers must be drawn in the lottery. The winning numbers can be drawn in any order, so order does not make a difference. How many different lottery tickets are possible?

Determine the number of distinguishable arrangements of the letters in the word MISSISSIPPI.

If 4 cards are randomly selected, without replacement, from a standard 52-card deck, find the probability that the first one is a heart, and the second card is a diamond, and the third card is a spade, and the fourth card is a club. Leave your answer as a single fraction.

An analyst calculates a correlation of 0.78 between product rating and monthly sales for 100 items. What conclusion can be drawn from this value?

An inventory manager calculates a correlation of –0.66 between days of inventory on hand and the frequency of stockouts across retail locations. How should this result be interpreted?