A bag contains 6 purple marbles and 7 white marbles. One marbles is drawn at random and not replaced. Then a second marble is dr

Question

3 years ago

7

awn at random. What is the probability that the first marble is white and the second one is purple?

1 answer:

KonstantinChe [14] · Answer 1 · 2022-11-17T04:29:13+03:00

Answer: 7/26

Step-by-step 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.