Question

You randomly chose one of the pens shown. Your friend randomly chooses one of the remaining pens. What is the probability that you and ur friend and your friend both choose a blue pen there and 2 blue pens and 5 pens in total

Answer 1

The total number of pens is 5. From the 5 pens, there are 2 blue pens. Recall,

probability = number of favorable outcomes/total number of outcomes

Probability that you chose a blue pen = 2/5

The number of pens left = 5 - 1 = 4

number of blue pens left = 2 - 1 = 1

Probability that your friend chose a blue pen = 1/4

Probability that you annd your friend both chose a blue pen = 2/5 x 1/4 = 1/10