Question

Winning the jackpot in a particular lottery requires that you select the correct fourfour numbers between 1 and 6262 ​and, in a separate​ drawing, you must also select the correct single number between 1 and 1616. find the probability of winning the jackpot.

Answer 1

 

There are 2 drawings, in the 1st one we have to select correct four numbers between 1 and 62 while the 2nd one is to select the one single number between 1 and 16.

In the 1st drawing, the probability of success is 1 divided by the total number of 4 combinations that can be created from 62 numbers.

P1 = 1 / 62C4

P1 = 1 / 557,845

 

In the 2nd drawing, the probability of success is 1 divided by 16:

P2 = 1 / 16

 

Since the two drawings must be satisfied before you can win the jackpot, then multiply the two:

P = P1 * P2

P = (1 / 557,845) (1 / 16)

P = 1 / 8,925,520 = 1.12 x 10^-7 = 1.12 x 10^-5 %

 

Therefore the odd in winning this lottery is 1 in 8,925,520 chances.