Question

1）To win a particular lottery, your ticket must match 6 different numbers from 1 to 50, without regard to order.

a) How many combinations are possible?

2）To win a particular lottery, your ticket must match 6 different numbers from 1 to 50, without regard to order.

b) To win second prize, 5 of the 6 winning numbers must match. How many outcomes are possible for 2nd prize?

3）A NHL committee is being formed to look into the effect of concussions on players.

An inquiry committee of 6 people is to be formed. The commissioner has to choose the committee from the 12 players working in the players association as well as 10 former coaches. Every person has an equal chance of being chosen.

a) What is the probability that there is an equal number of players and coaches on the committee?

**ENTER YOUR ANSWER AS A DECIMAL

ie: if you think the answer is 50% type in 0.50, rounded to two decimal places**

Answer 1