Question

A bag contains 10 marbles: 2 are green, 6 are red, and 2 are blue. Ivanna chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are green? Write your answer as a fraction in simplest form.

Answer 1

The probability that both marbles she chooses are blue is 2/15

Explanation:

To find : What is the probability that both marbles she chooses are blue?

Solution :

Total number of marbles = 10

Green marbles = 4

Red marbles = 2

Blue marbles = 4

Probability is favorable outcome upon total number of outcomes.

Probability of getting first marble is blue

4/10=2/5

Without replacement,

i.e. Blue marble left = 3

Total marble left = 9

Probability of getting second marble is blue

3/9=1/3

The probability that both marbles she chooses are blue is

2/5*1/3

= 2/15

Therefore, The probability that both marbles she chooses are blue is 2/15