Probability, math homework help

Probability, math homework help

1. The mathematics department of a college has 10 male professors, 8 female professors, 11 male teaching assistants, and 9 female teaching assistants. If a person is selected at random from the group, find the probability that the selected person is a professor or a male. Type an integer or fraction and simplify.

2. The mathematics department of a college has 10 male professors, 5 female professors, 13 male teaching assistants, and 14 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.

3. One card is randomly selected from a deck of cards. Find the odds in favor of drawing a club. Simplify

4. One card is randomly selected from a deck of cards. Find the odds against drawing a king. Simplify

5. The winner of a raffle will receive a 21-foot outboard. If 1000 raffle tickets were sold and you purchased 10 tickets, what are the odds against your winning the boat? Simplify

6. Of the 37 plays attributed to a playwright, 14 are comedies, 12 are tragedies, and 11 are histories. If one play is selected at random, find the odds in favor of selecting a comedy or a history. Simplify

7. If you are given odds of 3 to 4 in favor of winning a bet, what is the probability of winning the bet? Type an integer or fraction and simplify

8. Use the given odds to determine the probability of the underlined event. Odds against exposure to excessive natural cold: 6,045 to 1. Find the probability. Type an integer or simplified fraction

9. In one lottery, a player wins the jackpot by matching all five numbers drawn from white balls(1-44) and matching the number on the gold ball(1-31). What is the probability of winning the jackpot? Type an integer or a simplified fraction.