Probability

Question

To play the lottery in a certain state, you buy a ticket where you pick 6 numbers out of 45 numbers, playing for a $1 each ticket. If the 6 numbers drawn by the lottery are the same 6 numbers you picked on your ticket, you win $100,000.

 

a. What is the probability that you win if you buy 1 ticket (choose 5 numbers)?

 

b. What is the probability that u win if u buy 100 tickets?  

Answer 1

Naively, 

 

one out of

 

45*44*43*42*41*40 = 5 ,864, 443, 200

 

 

Multiplying by 100 gives 1 out of 58 ,644, 432