Page 118 - Senior Math

Determine whether the events are mutually exclusive or not mutually exclusive. Then find the probability.
1) Drawing a card from a standard deck and getting a jack or a six
2) Selecting a number at random from integers 1 to 20 and getting an even number or a number divisible by 3
3) Tossing a coin and getting heads or tails
4) Drawing an ace or a heart from a standard deck
5) Trevor reaches into a can that contains 30 quarters, 25 dimes, 40 nickels and 15 pennies. What is the probability that the first coin he picks is a quarter or a penny?
6) If you win the ring toss game at a certain carnival, you receive a stuffed animal. If the stuffed animal is selected at random from among 15 puppies, 16 kittens, 14 frogs, 25 snakes, and 10 unicorns, what is the probability that the winner receives a puppy, a kitten, or a unicorn?
7) An exchanged student is moving back to Italy, and her homeroom class wants to get her a going away present. The teacher takes a survey of the class of 32 students and finds that 10 people chose a card, 12 chose a T-shirt, 6 chose a video, and 4 chose a bracelet. What is the probability that the exchange student will get a card or a bracelet?
8) Of the 1260 households in a town, 632 have dogs, 568 have cats, and 114 have both types of pets. If a household is chosen at random, what is the probability that the household has either type of pet?
9) Cindy’s bowling records indicate that for any frame, the probability that she will bowl a strike is 30%, a spare 45%, and neither 25%. What is the probability that she will bowl either a spare or a strike for any given frame?
10) 3000 essays were received for a $5000 college scholarship. 2865 essays were the required length, 2577 of the applicants had the minimum required grade-point average, and 2486 had the required length and minimum grade-point average. What is the probability that an essay selected at random will have the required length or the required grade-point average?
11) Ruby’s cat had 8 kittens. The litter included 2 orange females, 3 mixed-color females, 1 orange male, and 2 mixed-color males. Ruby wants to keep one kitten. What is the probability that she randomly chooses a kitten that is female or orange?
117