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

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) (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.
RELATED QUESTIONS
In a 6/48 lottery game a player selects six numbers from 1 to 48. What is the probability (answered by Theo)

In the 6/48 lottery game a player selects six numbers from 1 to 48. What is the... (answered by Boreal)

In a certain lottery, 4 different numbers between 1 and 11 inclusive are drawn. These... (answered by Alan3354)

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

A state lottery is designed so that a player chooses six numbers from 1-30 on one lottery (answered by stanbon)

in a certain lottery, 4 different numbers between 1 and 11 inclusive are drawn. These... (answered by Fombitz)

In a lottery game, a player picks six numbers from 1 to 26. If the player matches all six (answered by ikleyn)

In a lottery game, a player picks six numbers from 1 to 24. If the player matches all six (answered by ikleyn)

In a 6/35 lottery game, a player pays $1 and selects six numbers from 1 to 35. Any player (answered by math_tutor2020)