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Determine the total possible number of outcomes for the Mega Millions lottery, Powerball lottery and Pick...

Determine the total possible number of outcomes for the Mega Millions lottery, Powerball lottery and Pick 4 lottery. Show all calculations
Math   Statistics-And-Probability   
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Answer #1

Mega Millions Lottery :

The numbers picked for the prizes consist of 5 numbers picked at random from a pool of 70 numbers. Then a single number (the Mega Number) is picked from a second pool that has 25 numbers.

The total number of equally likely Mega Millions combinations is thus :

* 25

= 12,103,014 x 25

= 302,575,350

Powerball lottery

Now we need to select 5 white balls out of 69 balls and 1 red ball out of possible 26 balls.

The total number of equally likely Power ball combinations is thus :

= 11,238,513 * 26

= 292,201,338

Pick 4 lottery

Pick any four numbers (unique or not) out of a possible 10, in any order.

Therefore the number of combinations are : 10 * 10 * 10 * 10 = 10,000

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