A Montana Powerball Lottery ticket is composed of five numbe

A Montana Powerball Lottery ticket is composed of five numbers from 1 to 59 (with no repetition and no order) and a Powerball that is a number from 1 to 39. A drawing is held to determine the winning 6 numbers (the 5 numbers from 1 to 59 and the Powerball from 1 to 39). (a) How many possible tickets are there? (b) What is the probability you hit the jackpot with one ticket (all five numbers and the Powerball match the winning numbers)?

Solution

1

a) No. of tickets possible is = selecting 5 nos from 1 to 59 and 1 from powerball nos.

= 59C5 *39C1

= 195249054

b. You will hit the jackport in 1 ticket if everything matchesL

So, 1/ 195249054 is the possibility.