Find the missing probability. 1) P(not A)= 0.45 P(B) = 0.65 P(A or B) = 0.8425 P(A and B) = ? A) 0.3575 B) 0.15 C) 0.105 D) 0.86 2) P(A) = 0.3 P(B) = 0.35 P(A and B) = 0.105 P(A or B) = ? A) 0.7975 B) 0.165 C) 0.9 D) 0.545 3) P(A) = 0.8 P(not B)=0.5 P(A and B)= 0.4 P(A or B) = ? A) 0.555 B) 0.9 C) 0.12 D) 0.895 11 3 4) P(A) = 5 P(not B) = 39 P(A or B) = 50 P(A and B) = ? 20 A) 27 100 151 B) 200 c) | ט 19 25 11 5) P(not A) = 20 63 P(A or B) = 100 P(A and B) 27 100 P(B) = ? 1 43 A) B) 9 C) 20 D) 121 200 2 50 3 3 6) P(not A) P(B) P(A or B) 17 20 P(A and B) = ? 4 4 2 343 3 A) 3 B) 20 400 Find the probability. 7) A box of chocolates contains three milk chocolates, four dark chocolates, and three white chocolates. You randomly select a chocolate. It is a milk chocolate or a dark chocolate. 8) A bag contains three yellow tennis balls numbered one to three. The bag also contains six green tennis balls numbered one to six. You randomly pick a tennis ball. It is yellow or has an odd number. 9 A) 0.286 B) 0.818 7 11 2 C) 0.667 D) = 0.6 3 A) 3 = 0.75 4 9 0.643 14 1 B) 0.333 3 7 D) = 0.7 10 C) 9) A cooler contains thirteen sports drinks: six lemon-lime and seven orange. Three of the lemon-lime and five of the orange drinks are cold. The others are still warm. You randomly grab a bottle. It is orange flavored or warm. 10) There are three nickels, four dimes, and four quarters in your pocket. You randomly pick a coin. It is a nickel or a dime. 5 7 A) 0.833 B) 0.636 6 11 2 11 C) 0.667 0.846 3 13 10 A) 0.909 = 0.4 11 2 B) 5 10 D) 13 1 C) bro 0.333 0.769 3 11) A magazine contains fifteen pages. You open to a random page. The page number is two or thirteen. 2 9 A) 0.286 B) 0.692 7 2 13 2 15 C) 0.667 D) 0.133 3 Find the missing probability. 7 11 12) P(B) 13 20 = 4 P(A and B) = ? P(A|B) = 13) P(not B) P(A|B) P(A and B) = ? 10 40 3 3 3 20 B 3 A) 4 33 B) 400 C) D) 3 25 20 A) C) 25 13 9 20 D) 25 14) P(B) = 2 P(AB) = 33 50 P(A and B) = ? 15) P(A and B) = 0.33 P(A|B) = 0.66 P(B) = ? A) 0.75 B) 0.45 C) 0.275 D) 0.5 7 1 A) B) 20 2 33 1 25 D) 100 16) P(not B)=0.8 P(AB) = 0.35 P(A and B) = ? A) 0.07 B) 0.8575 C) 0.36 D) 0.715 17) P(B) = 0.55 P(A) = 0.55 P(A or B) = 0.77 P(AB) = ? A) 0.465 B) 0.39 C) 0.6 D) 0.57 Find the probability. 18) A spinner has an equal chance of landing on each of its three numbered regions. You spin three times. Each spins lands in region two. 19) Your sock drawer has two white socks, six brown socks, and six black socks. You randomly pick two socks and get a matching pair of black socks. 15 1 A) 0.165 B) = 0.025 91 40 1 C) = 0.25 D) 0.028 4 36 0.021 1 A) - 0.167 6 5 0.278 18 1 B) 48 1 D) 27 0.037 20) A bag contains five red marbles, three blue marbles, and five yellow marbles. You randomly pick three marbles without replacement. The first marble is red, the second marble is blue, and the third marble is red. 21) A math teacher gave her class two tests. 25% of the class passed both tests and 42% of the class passed the first test. What percent of those who passed the first test also passed the second test? A) 0.67 B) 1.68 C) 0.34 D) 0.60 3 A) 0.231 B 13 5 143 7 0.269 26 392 ~0.116 3375 0.035 22) In Europe, 88% of all households have a television. 51% of all households have a television and a VCR. What is the probability that a household has a VCR given that it has a television? A) 0.42 B) 0.37 C) 0.58 D) 1.73 23) US Senators. The following table displays the 100 senators of the 113th US Congress, viewed by political party affiliation and gender. Male Female Total Democrat Republican Independent Total 36 42 2 80 16 4 0 20 52 46 2 100 A senator is selected at random from this group. What is the probability that the senator is a woman? A) 0.31 B) 0.20 0.80 D) 0.40 24) US SENATORS. The following table displays the 100 senators of the 113th US Congress, viewed by political party affiliation and gender. Male Female Total 16 4 Democrat Republican Independent Total 36 42 2 80 52 46 2 100 20 A senator is selected at random from this group. Given that the senator is a Republican, what is the probability that the senator is a woman? A) 0.04 B) 0.0870 C) 0.20 D) 0.46 25) STAY IN SCHOOL. In a recent school year in the state of Washington, there were 326,000 high school students. Of these, 159,000 were girls and 167,000 were boys. Among the girls, 7800 dropped out of school, and among the boys, 10,300 dropped out. A student is chosen at random. Given that the student is male, what is the probability that he dropped out? A) 0.512 B) 0.0239 C) 0.0617 D) 0.0467
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