SOLUTION: Mr. Santos has a new game. It consist of 65 cards numbered from 1 to 65. In order to win, he must draw 3 cards in a row that have 5 on them. There are 16 cards that have at least o

Question 439670: Mr. Santos has a new game. It consist of 65 cards numbered from 1 to 65. In order to win, he must draw 3 cards in a row that have 5 on them. There are 16 cards that have at least one digit equal to 5. After drawing a card, it is set aside. If Mr. Santos draws seven cards, and none of them has a 5, what is the probability that he will win the game on the next three draws?

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Mr. Santos has a new game. It consist of 65 cards numbered from 1 to 65. In order to win, he must draw 3 cards in a row that have 5 on them. There are 16 cards that have at least one digit equal to 5. After drawing a card, it is set aside. If Mr. Santos draws seven cards, and none of them has a 5, what is the probability that he will win the game on the next three draws?
----
After drawing the 7 with no digit 5 on them
there are 58 cards remaining. Sixteen of
those 58 have the digit 5 on them.
----
P(select three of the digit 5 cards) = 16C3/58C3 = 0.01815..
Cheers,
Stan H.

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