Question

Tom has a bag of marbles: 3 red and 4 blue. What is the compound probability that Tom will pull out a blue and a blue?

a) 1/7
b) 3/14
c) 1/6
d) 2/7

Answer 1

The compound probability that Tom will pull out a blue and a blue is 2/7.

Step-by-step explanation:

To find the compound probability that Tom will pull out a blue and a blue, we need to consider the probabilities of each event happening.

The probability of pulling out a blue marble on the first draw is 4/7, since there are 4 blue marbles out of a total of 7 marbles. After the first blue marble is drawn, there will be 3 blue marbles left out of a total of 6 marbles.

So, the probability of pulling out a blue marble on the second draw is 3/6. To find the compound probability, we multiply the probabilities of each event happening, giving us (4/7) * (3/6) = 12/42, which simplifies to 2/7.