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?​

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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?

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Expert Answer

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 nCr. So the number of ways of selecting 5 numbers from total numbers 45 ( between 1 and 45) is given by 45C5. There is only one correct combination of 5 numbers among them.

So P(A) = 1/(45C5)

Step 3

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

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