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jek_recluse [69]
3 years ago
5

Cards are dealt, one at a time, from a standard 52-card deck. a if the first 2 cards are both spades, what is the probability th

at the next 3 cards are also spades?
Mathematics
1 answer:
ratelena [41]3 years ago
3 0
So we already drew two cards and both of them are spades. So that means there are 50 cards and 11 spades left.

Then third card being spades would be 11 / 50

Now there are 10 spades and 49 cards left.
So the probability for fourth card would be 10 / 49

Fifth card would be 9 / 48.

So the probability of next three cards being spades would be
\dfrac{11}{50}\cdot\dfrac{10}{49}\cdot\dfrac9{48}=\dfrac{33}{3920}\approx\boxed{0.00842}

Hope this helps.
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