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Find the probability of drawing a king from a standard deck of cards and then drawing a queen after the first card is replaced in the deck. HELP HELP HELP (fraction)

User Kit Sunde
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1 Answer

5 votes

Answer:

1/169

Explanation:

In a standard deck of cards, there are 4 kings and 4 queens, and there is a total of 52 cards. Probability is defined by the formula the number of desirable outcomes over the total outcomes. In the first draw, we have 52 total outcomes and 4 desirable (the 4 kings) that equal the fraction 4 / 52 or 1/13. We can do the same to find the probability of picking a queen next with replacement. That would equal 1/13 as well. The two events are independent because you are drawing the cards with replacement. Using the probability of independent events, the product of the probabilities at each stage is the answer: 1/13 * 1/13 = 1/169

User Depado
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