SOLUTION: In a raffle contest, there are 45 blue tickets and 5 gold tickets in a bag. Contestants are given three chances to draw a ticket, and each time they draw a gold ticket, they receiv

Algebra ->  Probability-and-statistics -> SOLUTION: In a raffle contest, there are 45 blue tickets and 5 gold tickets in a bag. Contestants are given three chances to draw a ticket, and each time they draw a gold ticket, they receiv      Log On


   



Question 873459: In a raffle contest, there are 45 blue tickets and 5 gold tickets in a bag. Contestants are given three chances to draw a ticket, and each time they draw a gold ticket, they receive a prize. However, if someone draws a gold ticket on ALL THREE DRAWS, they win a new car. If the tickets are not replaced after each draw, what is the probability of winning the new car?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In a raffle contest, there are 45 blue tickets and 5 gold tickets in a bag. Contestants are given three chances to draw a ticket, and each time they draw a gold ticket, they receive a prize. However, if someone draws a gold ticket on ALL THREE DRAWS, they win a new car. If the tickets are not replaced after each draw, what is the probability of winning the new car?
-----
# of ways to succeed:: 5C3 = 10
# of random sets of 3 tickets: 50C3
----
P(win car) = 10/50C3 = 0.0005102...
Cheers,
Stan H.
---------------