Question

In the lottery game known as 6/36, a player picks six numbers from 1 to 36. (a) How many different ways are there for the player to pick 6 numbers, if order doesn't matter? Answer (b) If all six of the numbers match the ones that are drawn, the player wins first prize. What is the probability of winning 1st prize? Enter your answer as a decimal (not a percent), rounded to SEVEN decimal places.

Answer 1

Explanation:

Part A

This is a combination problem. Order does not matter.

36C6

36!/(30! 6!)

36 * 35 * 34 * 33 * 32 * 31/ 6!

1402410240/6!

1947792

Part B

1 / (36C6)

0.000000513 or

0.0000005