Concept explainers
(a) What is the arithmetic relationship between the two probabilities in Exercise 32(a)?
(b) Suppose the scenario in Exercise 32 is repeated, this time choosing four letters rather than three. Without actually computing either probability, what do you think the relationship between the two probabilities will be? Explain how you got your answer. (Hint; Think about part [a] and the effect of order mattering.)
32. (a) Suppose that we choose 3 letters at random from the first 10 letters of the alphabet without repeats. Find the probability of choosing ABC in that order then find the probability of choosing ABC in any order,
(b) If we change the scenario in part (a) to include repeats, recompute the probabilities.
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