Question

Asked Jan 31, 2019

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Winning the jackpot in a particular lottery requires that you select the correct five numbers between 1 and 45 and, in a separate drawing, you must also select the correct single number between 1 and 48. Find the probability of winning the jackpot. The probability of winning the jackpot is?

Step 1

Given that to win a jackpot in a lottery requires to select the correct five numbers between 1 and 45 and in separate drawing you must select the correct single number between 1 and 48.

Here let us assume the Event A is to select the correct five number between 1 and 45 and event B is selecting one correct single number between 1 and 48.

Step 2

The number of ways of selecting r things from n things can be given by the formula ^{n}C_{r}. So the number of ways of selecting 5 numbers from total numbers 45 ( between 1 and 45) is given by ^{45}C_{5}. There is only one correct combination of 5 numbers among them.

So P(A) = 1/(^{45}C5)

Step 3

Among 1 to 48 numbers there is only one correct number. So probabilit...

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