1. the mathematics department of a college has 15 male professors, 8 female professors, 5 male teaching assistants, and 15 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a teaching assistant or a female. Type an integer or fraction and simplify.
2. Eduardo, Maria, Katrina, Dawn, Jim, Larry and Sergio have all been invited to a dinner party. They arrived randomly and each person arrives at a different time. a. How many ways can they arrive? b. In how many ways can Eduardo arrive first and Sergio last? c. Find the probability that Eduardo will arrive first and Sergio last. Type an integer
3. A group consists of five men and six women. Four people are selected to attend a conference:. a. In how many ways can four people be selected from this group of eleven? b. In how many ways can four women be selected from the six women? c. Find the probability that the selected group will consist of all women.
4. If you are dealt 4 cards from a shuffled deck of 52 cards find the probability that all 4 cards are diamonds. Round to six decimal places.
5. If you are dealt 4 cards from a shuffled deck of 52 cards, find the probability of getting one queen and three kings. Round to six decimal places.
6. One card is randomly selected from a deck of cards, find the odds in favor of drawing a spade.Simplify
7. The winner of a raffle will receive a 21 foot outboard boat. If 3000 raffle tickets were sold and you purchased 40 tickets, what are the odds against your winning the boat?
8. In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls(1-43) and matching the number on the gold ball (1-35). What is the probability of winning the jackpot? Type an integer or simplified fraction.
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