Asked Jan 11, 2020

Powerball As of this writing, the Powerball lottery is run in 44 states. Winning the jackpot requires that you select the correct five different numbers between 1 and 69 and, in a separate drawing, you must also select the correct single number between 1 and 26. Find the probability of winning the jackpot.


Expert Answer

Step 1

In Powerball lottery, the winning of jackpot is done by selecting five different correct numbers between l and 69 and in other selection by drawing a correct single number between 1 and 26.

In the first selection, there are 69 numbers and 5 numbers are selected. That is, n=69 andr=5.

Combination Rule:

There are n different items and r number of selections and if the selections are made without replacement, then the number of different combinations (order does not matter counts) is given by,

Statistics homework question answer, step 1, image 1
Step 2

Substitute 69 for ‘n’ and 5 for ‘r’, then the number of different possible for winning the jackpot with five different correct numbers between l and 69 is,

Statistics homework question answer, step 2, image 1
Step 3

In another drawing, a single correct number between 1 and 26 is selected. This can be done ...

Statistics homework question answer, step 3, image 1

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