Question

the numbered disks shown are placed in a box and one disk is selected at random. find the probability of selecting a blue disk, given that the number selected is at least 3. what is the probability of selecting a blue disk, given that the number selected is at least 3? (type an integer or a simplified fraction.)

Explanation:

Step1: Identify total disks with number at least 3

There are 7 disks with number 3 or more (3, 4, 5, 6, 7, 8).

Step2: Identify blue disks among those with number at least 3

Among these 7 disks, 3 are blue (6, 8).

Step3: Calculate the conditional probability

The probability is the number of blue disks among those with number at least 3 divided by the total number of disks with number at least 3. So the probability $P=\frac{3}{7}$.

Answer:

$\frac{3}{7}$