If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability that at least two heads occur consecutively?

• A. 1/8
• B. 3/8
• C. 5/8
• D. 6/8

A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain.

• A. 2/6
• B. 3/6
• C. 4/6
• D. 5/6

A study of two types of weed killers was done on two identical weed plots. One weed killer killed 15% more weeds than the other. This difference was significant at the 0.05 level. What does this mean?

• A. The improvement was due to the fact that there were more weeds in one study.
• B. The probability that the difference was due to chance alone is greater than 0.05.
• C. The probability that one weed killer performed better by chance alone is less than 0.05.
• D. There is not enough information to make any conclusion.

A 28-year-old man pays $125 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the mans expected value for the insurance policy?

• A. $139,916
• B. $41
• C. $84
• D. $124

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

• A. 2/11
• B. 3/11
• C. 5/14
• D. 3/14