Math Algebra Quiz Review 10 Key

Algebra 2 CP 10.4 - 10.5 Quiz Review Calculate the probability. Be sure to determine independent and dependent events; and inclusive and exclusive events. 1. Two dice are rolled. What is the probability that one die shows a multiple of 3 and the other die shows a 2? 2/6 * 1/6 = 1/18 2. Liz has 2 red, 2 white, and 3 blue marbles in a cup. She draws two marbles at random and does not replace the first one. What is the probability that she will draw a white marble and then a blue marble or a blue then a   red? (2/7 * 3/6) + (3/7 * 2/6) = 12/42 = 2/7 3. Two cards are drawn at random from a standard deck. Find the probability of drawing a face card then a diamond when replacement occurs.   12/52 * 13/52 = 156/2704 = 3/52 4. Two cards are drawn at random from a standard deck without replacement. What is the probability that one is a heart and the   other is a club or a heart then a spade? (13/52 * 13/51) + (13/52 * 13/51) = 169/2652 + 169/2652 = 13/102 5. Seven cards are drawn from a deck of 52 cards all at once. What is the probability that five cards are spades and two are hearts?   13C5 * 13C2 / 52C7 = 1287 / 133784560 = 0.00075 6. There are 5 English, 2 Math, and 3 Chemistry books on a shelf. If two books are randomly selected, what is the probability of selecting two Math books consecutively, or one Chemistry book and an English book if replacement doesn't occur?   (2/10 * 1/9) + (3/10 * 5/9) = 2/90 + 15/90 = 17/90 7. A basket contains 3 apples, 6 oranges, 7 pears, and 9 peaches. What is the probability of selecting 1 apple and 2 oranges, or 2 apples and 1 peach   if you once? (3C1 * 6C2) / 25C3 + (3C2 * 9C1) / 25C3 = 45/2300 + 27/2300 = 72/2300 = 18/575 8. A die is rolled twice. What is the probability of rolling a 6 twice, or a 3 and a 2? (1/6 * 1/6) + (1/6 * 1/6) = 1/36 + 1/36 = 2/36 = 1/18 9. Seven coins are chosen from a bowl randomly. The bowl contains 8 nickels and 4 quarters. What is the probability that the total value of the coins is $0.75?   (8C4 * 4C3) / 12C7 = 56/792 = 7/99 10. A card is drawn at random from a standard deck of cards. What is the probability of drawing a five or an odd card? 4/52 + 20/52 - 4/52 = 20/52 = 5/13 11. A box contains 7 different kittens: 3 white, 2 tortoise shell, and 2 orange tiger cats. You are allowed to pick 2 kittens. What is the probability of picking out a tortoise shell   and one orange tiger cat or 2 orange tiger cats? (2C1 * 2C1) / 7C2 + (2C2) / 7C2 = 4/21 + 1/21 = 5/21 12. The cup on Sophie's desk holds 4 red pens, and 7 black pens. What is the probability of her selecting first a red pen, then a black pen, then a red one if replacement does   not occur? 4/11 * 7/10 * 3/9 = 14/165 13. There are 3 quarters, 4 dimes, and 7 nickels in a change purse. Suppose 3 coins are selected at random. What is the probability of selecting two quarters, then a nickel?   3/14 * 2/13 * 7/12 = 21/2184 14. A bag contains 45 dyed eggs: 15 yellow, 12 green, and 18 red. What is the probability of selecting a green, a red, and a yellow, or a red, yellow, and a blue egg if replacement does not occur?   (12/45 * 18/44 * 15/43) + 0 = 3240/85140 = 18/473 15. 5 cards are drawn from a standard deck of cards. What is the probability of drawing at least 3 kings if cards are all taken at once?   (4C3 * 48C2) / 52C5 + (4C4 * 48C1) / 52C5 = 4512/2598960 + 48/2598960 = 0.00175 16. A die is rolled 3 times. What is the probability of getting two fours and a five? 1/6 * 1/6 * 1/6 = 1/216 Answers: 1. 7/99 2. 5/13 3. 5/21 4. 13/102 5. 0.00075 6. 17/90 7. 18/575 8. 1/18 9. 14/33 10. 5/13 11. 1/3 12. 18/473 13. 1/52 14. 1/216