The numbered disks shown are placed in a box and one disk is selected at random. find the probability of selecting a 2 given that a blue disk is selected.

The probability of selecting a 2 given that a blue disk is selected is 1/8, or 0.125.

Step-by-step explanation:

1. Let's calculate the probability of selecting a blue disk:

We can select a blue disk with number 2, 6 or 8 out of a total of 8 disks, it means that the probability of selecting a blue disk is:

3/8

2. Let's calculate the probability of selecting the blue disk labeled with number 2:

We can select the blue disk labeled with number 2 out of three blue disks, it means that the probability of selecting the blue disk labeled with number 2 is:

1/3

3. These are dependent events because the fact that we select the disk labeled with number 2, depends on selecting a blue disk before, thus:

Probability of selecting a 2 given that a blue disk is selected =

3/8 * 1/3 = 3/24 = 1/8

The probability of selecting a 2 given that a blue disk is selected is 1/8, or 0.125.

a

step-by-step explanation: