T5.8 In a class, there are 18 girls and 14 boys. If the teacher selects two students at random to attend a party with the principal, what is the probability that the two students are the same sex? a. 0.49 b. 0.50 c. 0.51 d. 0.52 e. 0.53

A statistics teacher gives a 10-question multiple-choice pop quiz with five answer choices per problem. Brandon is not prepared and has to guess the answer for each of the 10 questions. The teacher explains that students will receive a free homework pass if they answer at least five questions correctly. What is the probability that Brandon will earn a free homework pass? A. 0.006 B. 0.026 C. 0.033 D. 0.967 E. 0.994

The probability of A is 0.55. The probability of B is 0.65. The probability that neither A nor B happens is 0.2. What is the probability that both A and B happen? O 0.45 0.3 .6 .5 1 0.1 0.4 0.2

Suppose that you toss a fair coin three times. What is the probability that you will get a head three times? Select one: a. 0.125 O b. 0.25 O c. 0.5 O d. 0

A couple decides to continue to have children until they have three daughters. Assuming that their probability of having a male offspring is 0.55, what is the probability that their third daughter is their sixth child?     a. 0.6250     b. 0.1808     c. 1   d. 0.1516     e. 0.8125     f. 0.8192     g. 0.3750     h. 0.1875

A committee consists of 30 males and 13 females. If 3 persons are selected at random, what is the probability that 1 will be male and 2 will be female? A. 0.0705 O B. 0.221O O C. 0.1896 O D. 0.3333

Find the specified probability. A candy company claims that its jelly bean mix contains 57% blue jelly beans. Suppose that the candies are packaged at random in small bags containing about 221 jelly beans. What is the probability that a bag will contain more than 61% blue jelly beans? O A. 0.108 O B. 0.213 O c. 0.113 O D. 0.887 OE. 0.111

The probability of snow in Alaska is 0.8. The roads close on 40% of snowy days. On 18% of days the roads are open and it doesn't snow. In what percentage of days are the roads in Alaska open? a. 20 b. 66 c. 90 d. 34

A bag contains 8 red chips and 12 blue chips. Two chips are selected randomly without replacement from the bag. What is the probability that the two chips are NOT the same​ color? A. 0.4947   B. 0.1474   C. 0.2526   D. 0.5053   E. 0.5474

You play two games against the same opponent. The probability you win thefirst game is 0.4. If you win the first game, the probability you also win the second is 0.2.If you lose the first game, the probability that you win the second is 0.3. A tie is not anoption.a. Are the two games independent? Explain.b. What’s the probability you lose both games?c. What’s the probability you win both games?d. Let random variable X be the number of games you win. Find the probabilitymodel for X.