Sal has a small bag of candy containing three green candies and two red candies. While waiting for the bus, he ate two candies out of the bag, one after the other, without looking. What is the probability that both candies were the same color?

A.

2/5

B.

3/100

C.

8/25

D.

3/5

Option A

Step-by-step explanation:

Given that Sal has a small bag of candy containing three green candies and two red candies.

He ate two candies one after the other.

The probability that both candies were the same color has to be calculated.

The probability that both candies were the same color = P (both are red or both are green)

= P (both are red) + P (both are green)

Total no of ways to draw 2 candies out of 5 = 5C2 = 5 (4) / 2 = 10

No of ways of drawing 2 red candies = 2C2 = 1

No of ways of drawing 2 green candies = 3C2 = 3

Hence required prob = (1+3) / 10 = 2/5

A. 2/5

Step-by-step explanation:

3/5*2/4+2/5*1/4

6/20+2/20

8/20 = 2/5