6.86 If 10% of the rivets produced by a machine are defective, what is the probability that out of 5 rivets chosen at random (a) none will be defective, (b) 1 will be defective, and (c) at least 2 will be defective? 6.87 (a) Set up a sample space for the outcomes of 2 tosses of a fair coin, using 1 to represent "heads" and 0 to represent "tails." (b) From this sample space determine the probability of at least one head. (c) Can you set up a sample space for the outcomes of 3 tosses of a coin? If so, determine with the aid of it the probability of at most two heads?

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