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Ulleksa [173]
3 years ago
11

20. Three cards are selected form a standard deck of cards and not

Mathematics
1 answer:
frozen [14]3 years ago
6 0

We have a probability of  \frac{13}{52}=\frac{1}{4} for the first card to be a diamond. Having drawn this first card <em>without replacement,</em> there are now 12 diamonds remaining in a deck of 51 cards, so the probability that the second card is a diamond, given that the first card was a diamond, is \frac{12}{51}=\frac{4}{17}. Similarly, for the third card, there are 11 diamonds in a deck of 50, so the probability of drawing a third diamond is \frac{11}{50}. Now, since these events are dependent, we multiply these three probabilities to get our answer of \frac{11}{850}.

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