Question

Sonia has 5 yellow hair clips, 2 red hair clips, and 3 blue hair clips in her purse. What is the probability that she will randomly select a yellow hair clip, return it to the purse, then select a blue hair clip? A. 1/6B. 3/20C. 8/15D. 15/56

Answer 1

3/20 (option B)

Explanation:

Probability that she will randomly select a yellow hair clip, return it to the purse, then select a blue hair clip = probability of picking yellow and probability of picking blue

Total hair clip = 5 + 2 + 3 = 10

Pr(yellow) = number of yellow/total = 5/10

Pr(blue) = number of blue/total = 3/10

Probability that she will randomly select a yellow hair clip, return it to the purse, then select a blue hair clip = 5/10 × 3/10

= 15/100

Probability that she will randomly select a yellow hair clip, return it to the purse, then select a blue hair clip = 3/20 (option B)