16) Avery selects two chips from a bag without looking at them. The bag has 5 green chips, 3 red chips, and 7 blue chips. What is the probability that he selects a red and then …

Question

asked Dec 1, 2021 136k views

1 Answer

Sergio Calderon · Answer 1 · 2021-12-06T06:05:22+0000

Answer:
(1)/(10)

Explanation:

Given: The bag has 5 green chips, 3 red chips, and 7 blue chips.

Total chips = 5+3+7= 15

Number of ways to select a red and then a blue chip = 3 x 7 = 21

Total number of ways to select 2 chips without replacement = 15 x 14 =210

Required probability =
$\frac{\text{favorable outcomes}}{\text{Total outcomes}}$

=(21)/(210)=(1)/(10)

So, the probability that he selects a red and then a blue chip (without replacing) =
(1)/(10)