Wally has 9 pairs of dark Blue socks and 9 pairs of Black socks mixed up in the same bag. If he picks out three socks at random, what is the probability he will get a matching pair? Select the correct option.

Select one:

a. 1/18b. 1/6c. 1d. 3!/9!

A manufacturer of engines finds that on the average, 12% of his engines are rejected because they are either oversize or undersize. What is the probability that a batch of 10 pistons will contain no more than 2 rejects?

More help, click here. Select the correct option.

Select one:

a. 0.77b. 0.89c. 0.62d. 0.55

A player has 75% chance of missing a penalty kick in a soccer match. What is the probability that out of 6 randomly selected players to take shots at the goal, 4 will score? Select the correct option. Select one: a. 0.021 b. 0.042 c. 0.022 d. 0.033 In a certain lottery, the prize money is 10 million dollars and 5000 tickets have been sold. What is the expectation of a man who holds 10 tickets? Select the correct option. Select one: a. $ 15000 b. $ 10000 c. $ 20000 d. $ 30000

There are 10 students in a class: 8 boys and 2 girls. If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy? Select the correct option.

Select one:

a. 3/4b. 1/6c. 1/2d. 1/3

The probability of a sniper hitting the target at a shooting range is 1/4. If he shoots 10 times, what is the probability that he hits the target at least once?

More help, click here. Select the correct option.

Select one:

a. 0.82b. 0.74c. 0.94d. 0.65

Bob is betting 100 dollars on the outcome of a game between teams X and Y. If X wins (probability 40%), Bob gets 200 dollars, If Y wins (probability 50%) Bob gets nothing. If the match is drawn (probability 10%), Bob gets 50 dollars. What is Bob's expected net earning from the bet? Select the correct option. Select one: a. -15 b. 25 c. -25 d. 30

A problem takes 2 hours to solve with probability 1/4, 1 hour with probability 1/2 and 30 minutes with probability 1/4. What is the expected time required to solve the problem? Select the correct option.

Select one:

a. 1 and 1/2 hoursb. 1/2 hourc. 1 and 1/4 hoursd. 1 and 1/8 hours

Grace is offered a game where a coin is tossed and if it lands heads Grace will get 100 dollars. If the coin lands tails Grace will be required to pay 50 dollars. How much would Grace be willing to pay to be able to participate in this game? Select the correct option. Select one: a. 25 b. 50 c. 75 d. 100

Bob has 50% chance of passing an exam. What is the probability that out of 6 exams that Bob takes, he passes in 2?

More help, click here. Select the correct option.

Select one:

a. 0.12b. 0.42c. 0.52d. 0.23