SOLUTION: In a lottery, the player selects six numbers from the numbers 1-30. There are six winning numbers (all different) which are selected at random from the numbers 1-30. To win a prize

Algebra ->  Probability-and-statistics -> SOLUTION: In a lottery, the player selects six numbers from the numbers 1-30. There are six winning numbers (all different) which are selected at random from the numbers 1-30. To win a prize      Log On


   



Question 62828: In a lottery, the player selects six numbers from the numbers 1-30. There are six winning numbers (all different) which are selected at random from the numbers 1-30. To win a prize, the ticket must contain three or more of the winning numbers. If you buy one lottery ticket, determine the probability that your ticket contains exactly three winning numbers.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
# of ways to get three winning tickets = 6C3
# of ways to get three non-winning tickets = 24C3
# of ways to get 3 win and 3 non-wiin = [6C3*24C3]
# of ways to draw 6 from the pool of 20= 30C6
Prob(3win 3no-win)=[6C3*24C3]/30C6=0.068
Cheers,
Stan H.