Question

There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow. You plan to draw 2 marbles from the bag without replacement. Given that the first one you draw is yellow, what is the probability that the second marble will be blue?

Answer 1

Probability that the second marble will be blue is 0.44

Explanation:

There are 10 marbles in a bag. 3 are red, 4 are blue, 2 are green, and 1 is yellow.

Total number of marbles = 10

Given that first marble is yellow.

New total number of marbles = 10 - 1 = 9

Now we have 3 are red, 4 are blue, 2 are green.

Number of blue marbles = 4

We need to find drawing probability of blue marble from 9 marbles.

Let the probability be, p

`p=\frac{\texttt{Total blue marbles}}{\texttt{Total number of marbles}}\\\\p=(4)/(9)\\\\p=0.44`

Probability that the second marble will be blue is 0.44