The probability that 4 red cards and 9 black cards are dealt is 0.0735.
Let E be the event that 4 red cards and 9 black cards are dealt.
According to the given question.
Number of card hand that is dealt from a well-shuffled standard 52- card deck is 13
Total number of red cards in a well shuffled card deck = 26
Total number of black cards in a well shuffled card = 26
Now, the number of ways to dealt 13 cards =
Number of ways to dealt 9 black cards =
And, the number of ways to dealt 4 red cards =
As, we know that the probability of an event is calculated by taking the ratio of the favorable outcomes to the total number of outcomes.
Therefore, the the probability that 4 red cards and 9 black cards are dealt is given by
P(E) =
⇒ P(E) =
⇒ P(E) = 0.0735
Hence, the probability that 4 red cards and 9 black cards are dealt is 0.0735.
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