Answer:
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.
