# Work Shown - Currently, the second most common multinumber game

1. Currently, the second most common multinumber game is the 6/49 lottery. It is played in Massachusetts, New Jersey, Ohio, Pennsylvania, Washington, and Wisconsin.

Find the probability of winning first prize. (Enter your answer as a fraction.)

Find the probability of winning second prize. (Enter your answer as a fraction.)

2. You order seventeen burritos to go from a Mexican restaurant, eight with hot peppers and nine without. However, the restaurant forgot to label them. If you pick five burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

3. You order seventeen burritos to go from a Mexican restaurant, seven with hot peppers and ten without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event. (Round your answer to three decimal places.)

If three people are selected at random, what is the probability that all are women? (Round your answer to six decimal places.)

If three people are selected at random, what is the probability that two are women? (Round your answer to six decimal places.)

If three people are selected at random, what is the probability that one is a woman? (Round your answer to six decimal places.)

If three people are selected at random, what is the probability that none is a woman? (Round your answer to six decimal places.)

If you were an applicant, and the three selected people were not of your gender, should the above probabilities have an impact on your situation? Why?

Consider the following scenario. The five-number bet:

Find the expected value of each \$1 bet in roulette. (Round your answer to three decimal places.)

b) Use the Law of Large Numbers to interpret it. (Round your answer to one decimal place.)

Over time, you should expect to lose about___________________  cents for every dollar you bet.

Consider the following scenario The even-number bet:

Find the expected value of each \$1 bet in roulette. (Round your answer to three decimal places.)

use the Law of Large Numbers to interpret it. (Round your answer to one decimal place.)

Over time, you should expect to lose about _________________ cents for every dollar you bet.

Determine a casino's expected net income from a 24-hour period at a single roulette table if the casino's total overhead for the table is \$60 per hour and if customers place a total of \$7,000 on single-number bets, \$4,000 on two-number bets, \$4,000 on four-number bets, \$3,000 on six-number bets, \$7,000 on low-number bets, and \$8,000 on red-number bets. (Assume the expected value of each of these \$1 bets in roulette is −\$0.053.)

On the basis of his sale records, a salesman knows that his weekly commissions have the probabilities shown below: