SOLUTION: In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize?

Question 1150222: In a lottery game, a player picks six numbers from 1 to 48. If 4 of those 6 numbers match those drawn, the player wins third prize. What is the probability of winning this prize?

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.


The idea of the solution is vary simple.


First, we should calculate the number of all possible groups of 6 numbers, selected from  48 numbers.

      This number is   =  = 12271512.



Next we should calculate the number of all possible groups ot 6 numbers, that contain 4 particular numbers.

      This numbers is   =  = 946


(since we can combine any of 2 remained 48-4 = 44 numbers with 4 particular numbers).



Finally, the desired probability is the ratio  P =  = .    ANSWER

Solved.

RELATED QUESTIONS
Lottery mathematics In a lottery game, a player picks six numbers from 1 to 48. If 4... (answered by stanbon)

In a lottery game, a player picks six numbers from 1 to 48. If 5 of the 6 numbers matches (answered by ikleyn)

PLEASE HELP!!!!!!!! Counting Methods In a lottery game, a player picks six... (answered by robertb)

PLEASE HELP! I NEED THIS ANSWER PLEASE!!!!!! In a lottery game, a player picks six... (answered by Theo)

In a lottery game, a player picks six numbers from 1 to 53. If 5 of the 6 numbers matches (answered by Edwin McCravy)

In a lottery game, a machine has 51 balls marked with numbers from 1-51 and six of them... (answered by Boreal)

In a lottery game, a player picks six numbers from 1 to 38. If 5 of the 6 match the... (answered by ikleyn,greenestamps)

In a lottery game, a machine has 48 balls marked with numbers from 1-48 and six of them... (answered by ikleyn)

a lottery game is set up so that each player chooses six different numbers from 1 to 15.... (answered by stanbon)