Question

In an experiment selecting two marbles from a bag with 4 red, 3 blue, and 2 white marbles, what is the probability of two consecutive red marbles?

a) 4/9
b) 2/7
c) 1/6
d) 4/11

Answer 1

To find the probability of drawing two consecutive red marbles, multiply the probability of drawing a red marble on the first draw (4/9) by the probability of drawing another red marble on the second draw (3/8), giving you 1/6.

Step-by-step explanation:

The question is asking for the probability of drawing two consecutive red marbles from a bag containing 4 red, 3 blue, and 2 white marbles. Since there are a total of 9 marbles, the chance of picking one red marble on the first draw is 4 out of 9 (4/9). After one red marble is taken, there are 3 red marbles left and the total count of marbles is reduced to 8. Therefore, the probability for the second draw is 3 out of 8 (3/8). To find the combined probability of both events happening one after the other, we multiply the probabilities of each individual event: (4/9) × (3/8) = 12/72, which simplifies to 1/6. Thus, the correct answer is c) 1/6.