Total cards = 52
A 2-card hand is dealt from a standard 52-card deck, and then one of the 2 cards is chosen at random. If the chosen card is a diamond, what is the probability that it is the only diamond among the 2 cards?
A 2-card hand is dealt from a standard 52-card deck, and then one of the 2 cards is chosen at random. If the chosen card is a diamond, what is the probability that it is the only diamond among the 2 cards?
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Topic Video
Question
A
2-card
hand is dealt from a standard 52-card deck, and then one of the
2
cards is chosen at random. If the chosen card is a diamond, what is the probability that it is the only diamond among the
2
cards?
Expert Solution
Step 1
Total diamond card= 13
One card is selected and which is diamond. Thus,
Total diamond cards left = 13-1=12
Total cards left = 52-1=51
Total cards left that are not diamond = 51-12=39
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