Abag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. christine 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 blue? write your answer as a fraction in simplest form.

The probability  that both marbles she chooses are blue is

Step-by-step explanation:

Given : A bag contains 10 marbles: 4 are green, 2 are red, and 4 are blue. Christine chooses a marble at random, and without putting it back, chooses another one at random.

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

.

Without replacement,

i.e. Blue marble left = 3

Total marble left = 9

Probability of getting second marble is blue

The probability that both marbles she chooses are blue is

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

ou would have 12 of each