# This means a in the next 6 rolls of the die exactly

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This means a. in the next 6 rolls of the die, exactly one of the outcomes will be 1. b. in the next 6 rolls of the die, at least one of the outcomes will be 1. c. in the next 6 rolls of the die, at most one of the outcomes will be 1. d. None of the above
Question 14 You are about to roll 2 fair six-sided dice, hoping to get a double. (A double = both dice show the same value on top). Which double will occur the least often?
Question 15 Colin is flipping a fair coin. Heads has just come up 5 times in a row! The chance of getting heads on the next throw is
Question 16 In a geology course, students are learning to use a balance scale to make accurate weightings of rock samples. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. Which student is more likely to come the closest to the true weight of the rock he or she is weighing?
Question 17 You flip a fair coin three times. What is the chance of getting an outcome that is neither HHH nor TTT? Note: Look for errors in the reasoning. a. It is 7/8 * 7/8 = 49/64: Since "not HHH" and "not TTT" are disjoint, you can multiply the two probabilities together. Each of them has probability 7/8, as that is 1 - P(HHH) = 1 - 1/8 = 1 - P(TTT). b. It is 3/4: To fit the question, you need the probability of all but HHH and TTT. You know P(HHH or TTT) = P(HHH) + P(TTT) = 1/8 + 1/8 = 1/4, so take 1-1/4 to get 3/4.
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