Question

Two cards are dealt from a standard deck of 52 cards. Find the probability of getting:...

Two cards are dealt from a standard deck of 52 cards. Find the probability of getting:

(a) A face card, followed by the ace of spades?

(b) At least one red card?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given,

Two Cards are dealt.

a) The probability of getting a face card, followed by the ace of spades= Probability of getting a face card from 52 cards* probability of getting the ace of spades

Now, Probability of getting a face card=12/52 ( I have not considered ace as a face card)

The probability of getting the ace of spades in subsequent deal= 1/51

So, The required probability is

b) The probability of getting at least one red card= 1- Probability of getting no red card

The probability of getting no red card means both cards are black cards.

The probability that both cards are black= Prob. that the 1st card is black* Prob. that second card is black= 26/52*25/51=0.245098039

Hence the probability that there is at least one red card is 1-0.245098039=0.754901. (Ans)

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