Question

ten balls numbered from 1 to 10 are placed in a bag. some are grey and some are white, as shown below. the balls numbered 1, 4, 5, 8, and 10 are grey. the balls numbered 2, 3, 6, 7, and 9 are white. answer the following questions. write each answer as a fraction. a ball will be randomly selected. (a) what is the probability that the number 2 ball is selected? (b) what is the probability that the number 2 ball is selected, given that the selected ball is white?

Explanation:

Step1: Identify total number of balls

There are 10 balls in total.

Step2: Calculate probability for part (a)

The probability of selecting ball 2 out of 10 balls is $\frac{1}{10}$ since there is 1 ball numbered 2.

Step3: Identify number of white balls

There are 5 white balls (numbered 2, 3, 6, 7, 9).

Step4: Calculate probability for part (b)

The probability of selecting ball 2 given it is white is $\frac{1}{5}$ as there is 1 ball numbered 2 among 5 white balls.

Answer:

(a) $\frac{1}{10}$
(b) $\frac{1}{5}$