Question

Two marbles are drawn without replacement from a jar with five black and six white marbles. Find the probability that both are white.

a) 2/11
b) 5/11
c) 6/11
d) 1/11

Answer 1

To find the probability that both marbles drawn are white, we multiply the probabilities of drawing a white marble on the first and second draws. The answer is 3/11.

Step-by-step explanation:

To find the probability that both marbles drawn are white, we need to consider the number of favorable outcomes (drawing two white marbles) and the total number of possible outcomes.

There are 6 white marbles in the jar, so for the first draw, the probability of selecting a white marble is 6/11.

After the first white marble is drawn, there are 5 white marbles left in the jar, out of a total of 10 marbles. Therefore, the probability of drawing a second white marble without replacement is 5/10 = 1/2.

To find the probability of both events happening, we multiply the probabilities together:
P(both white) = P(white first) × P(white second) = (6/11) × (1/2) = 6/22 = 3/11

Therefore, the probability that both marbles drawn are white is 3/11. The correct answer is c) 6/11.