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Postby d2syh » Wed Nov 07, 2012 12:31 pm

From a pack of well shuffled cards, one card is drawn and kept aside. Then second card is drawn and then kept aside. After that first card (which was drawn first time) is kept back in the pack of cards, and then the third card is drawn. What is the probability that two cards are face cards?
Choose one answer.
a. 14/221
b. 11/221
c. 9/221
d. None of these
The correct answer is 11/221.

Could you explain the answers with workings please.


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Re: Probability

Postby balajismz » Wed Nov 07, 2012 1:53 pm

This might help

Here is a simple problem: "A person draws a card from a standard deck, and it is the Queen of Hearts. The card is replaced, and the deck is reshuffled. What are the chances of drawing the Queen of Spades on the next draw?" First of all, the word "replace" in this context means "put back."

This is actually a trick question. The fact that the Queen of Hearts was drawn on the first draw has nothing at all to do with the second draw, since it was returned to the deck, and the deck was reshuffled. The deck doesn't have a memory. It is incorrect to say that the Queen of Hearts is "on a roll" so is more likely to come up again, just as it is incorrect to say that the Queen of Hearts is less likely to come up again because other cards are "overdue." The answer to the question is simply 1/52.

Your problem = P = 11*12/(52*51)

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Re: Probability

Postby content.pristine » Fri Nov 09, 2012 12:37 pm

Good Analogy Balaji!

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