Question

Sammy has a bag with 3 white marbles, 4 yellow marbles, and 5 green marbles. What is the probability of drawing a white marble followed by a yellow marble, without replacing the white marble?

A. 1/4
B. 7/12
C. 1/11
D. 1/2
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Answer 1

The probability of drawing a white marble followed by a yellow marble without replacement is 1/11.

Step-by-step explanation:

To find the probability of drawing a white marble followed by a yellow marble without replacing the white marble, we need to consider the total number of marbles and the number of successful outcomes.

There are 3 white marbles, 4 yellow marbles, and 5 green marbles in total.

Since we're not replacing the white marble, after drawing one, there would be 2 white marbles left.

The probability of drawing a white marble followed by a yellow marble is:

Probability = (Number of white marbles / Total number of marbles) * (Number of yellow marbles / Number of marbles after first draw without replacement)

Probability = (3/12) * (4/11) = 1/11

So the correct answer is option C: 1/11.