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A bag contains 6 purple marbles and 7 white marbles. One marbles is drawn at random and not replaced. Then a second marble is drawn at random. What is the probability that the first marble is white and the second one is purple?

User Jaxvy
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1 Answer

3 votes

Answer: 7/26

Explanation:

Number of purple marbles = 6

Number of white marbles = 7

Total number of marbles = 13

The probability of first drawing a white marble will be = 7/13

The probability of drawing a purple marble the second time will be = 6/12 = 1/2

The probability that the first marble is white and the second one is purple will now be:

= 7/13 × 1/2

= 7/26

Note that since there are 13 marbles, when the first purple marble is drawn, there'll be 12 marbles left.

User Yogevbd
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