As of this writing, the mega millions lottery is run in 12 states. Winning the jackpot requires that you select the correct 5 numbers between 1 and 56 and, in a separate drawing, you must also select the correct single number between 1 and 46. What is the probability of winning the jackpot?

Guest Mar 11, 2020

#1**+1 **

I don't know if the fact that the lottery is in 12 states affects the problem, so I'm just going to assume that it does not.

I'll also assume that the 5 numbers could be equal. If that is so, then the probability for 5 numbers between 1 and 56 is \(56^5\), times the probability for the single number between 1 and 46 which is 46. Multiplying gives \(56^5 \cdot 46.\)

.madyl Mar 11, 2020

#2**+2 **

Good answer...

.but you probably do not know that you cannot have the same numbers repeated in your choice of numbers....

56 * 55 * 54 * 53 * 52 * 46 = ...............

ElectricPavlov
Mar 11, 2020