Question

the numbered disks shown are placed in a box and one disk is selected at random. find the probability of selecting a 6, given that a blue disk is selected.
1 (green), 2 (blue), 3 (green), 4 (green), 5 (green), 6 (blue), 7 (green), 8 (blue)
find the probability of selecting a 6, given that a blue disk is selected.
(type an integer or a simplified fraction.)

Explanation:

Step1: Count blue disks

Blue disks: 2, 6, 8 → Total 3.

Step2: Count blue disks with 6

Blue disk with 6: Only 1.

Step3: Calculate conditional probability

Probability = $\frac{\text{Blue disks with 6}}{\text{Total blue disks}} = \frac{1}{3}$.

Answer:

$\frac{1}{3}$