SOLUTION: Suppose that two cards are selected at random from a standard 52 card deck. What is the probability that both cards are less than 10 and neither of them is red?
Total no of o
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Total no of o
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Question 182417This question is from textbook discrete mathematical structures
: Suppose that two cards are selected at random from a standard 52 card deck. What is the probability that both cards are less than 10 and neither of them is red?
Total no of outcomes = 52 C 2 = 1326
there are 26 black and 26 red cards .
After that i don't know how to proceed please help me.
You can put this solution on YOUR website! Suppose that two cards are selected at random from a standard 52 card deck. What is the probability that both cards are less than 10 and neither of them is red?
Total no of outcomes = 52 C 2 = 1326
there are 26 black and 26 red cards .
After that i don't know how to proceed please help me.
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P(two<10 AND black) = P(two<10|black)*P(black)
# of black is 26
# of those black that are less then 10 = 9
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So, P(two<10 | black) = 9C2/26C2
And P(black) = 1/2
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Ans: [9C2/26C2] = [36/325] = 18/325
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Cheers,
Stan H.
You can put this solution on YOUR website!
Stan is correct as long as you consider the Ace to be smaller than a 10. Your problem didn't say, so it could be either way. If Ace is larger than 10, modify Stan's answer to be:
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