Question

in one lottery game, contestants pick five numbers from 1 through 22 and have to match all five for the big prize (in any order). whats the probability youll win if you buy one ticket? (hint: your chances are not good.) the probability youll win if you buy one ticket is (enter your answer as a fraction in lowest terms.)

Explanation:

Step1: Calculate the combination

The formula for combinations is \(C(n,r)=\frac{n!}{r!(n - r)!}\), where \(n = 22\) (total numbers) and \(r=5\) (numbers to pick).

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Step2: Determine the probability

The probability of winning is \(\frac{1}{C(22,5)}\) since there is only 1 winning combination.

Answer:

\(\frac{1}{26334}\)