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Precalculus Mathematics Homework Help
Probability of not getting a prize
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[QUOTE="haruspex, post: 6846912, member: 334404"] It depends whether order matters. In the present case, it makes no difference whether you pick a winner, then a loser, or the other way around. So for k selections, the factor k! appears in the denominator for both the number of successful combinations and the total number of combinations. In a random walk with an absorbing barrier the order does matter. If one step away from the barrier, what is the probability of reaching it in three goes (with 50:50 at each step)? You only need two of the three in the right direction: an evens chance. But if the first step is in the right direction it doesn’t matter about the other two: so 5/8. [/QUOTE]
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Probability of not getting a prize
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