Question

in a certain lottery, you must correctly select 4 numbers (in any order) out of 29 to win. you purchase one lottery ticket. what is the probability that you will win?
the probability of winning is
(use scientific notation. use the multiplication symbol in the math palette as needed. round to the nearest hundredth as needed.)

Explanation:

Step1: Calculate the number of combinations

The formula for combinations is \(C(n,r)=\frac{n!}{r!(n - r)!}\), where \(n = 29\) and \(r=4\).

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Step2: Calculate the probability

The probability \(P\) of winning with one ticket is \(\frac{1}{C(29,4)}\).
Since \(C(29,4) = 23751\), then \(P=\frac{1}{23751}\approx4.21\times10^{-5}\)

Answer:

\(4.21\times 10^{-5}\)