SOLUTION: two cards are randomly selected from a standard-52 card deck. What is the probability of getting 2 hearts or 2 numbers les than 4 (count aces as one) thankyou

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Question 67169: two cards are randomly selected from a standard-52 card deck. What is the probability of getting 2 hearts or 2 numbers les than 4 (count aces as one)
thankyou

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
two cards are randomly selected from a standard-52 card deck. What is the probability of getting 2 hearts or 2 numbers les than 4 (count aces as one.
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Probability of getting two hearts = [13C2]/52C2
Probability of getting 2 numbers less than 4 = 12C2/52C2
These are mutually exclusive results so:
Prob(2hearts or 2 numbers <4) = P(2 hearts) + P(2 numbers <4)
={[13C2}+12C2]/52C2}
={78+66]/1326
=0.1085972851... or about 11%
Cheers,
Stan H.