SOLUTION: if three cards are selected at random from a standard deck of 52 cards without replacement. find the probability of the following events. a. all cards are red b. atleast two card

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Question 1163932: if three cards are selected at random from a standard deck of 52 cards without replacement. find the probability of the following events.
a. all cards are red
b. atleast two cards are red
all cards have the same suit

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
(26/52)(25/51)(24/50)for the first
this is 1/2*25/51*12/25
=0.1176
This is also (26C3)/52C3)
two cards are red at least.
that is 2 or 3. We know 3
two is 26C2*26C1/52C3
=0.3824 probability ANSWER
Notice that the sum is 0.5000, and for the same with the colors reversed would be 0.5000
Same suit is 4*13C3/52C3
this is 0.0518