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1 . In a container , there are 2 green marbles and 2 red marbles. You randomly pick the marbles. what is the probability that both of them are green?

A. 1/2
B. 1/4
C. 1/6
D. 1/3

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Answer: Option C

Explanation:

To find the probability that both marbles drawn are green, you can use the concept of probability.

First, let's consider the total number of ways to choose 2 marbles out of 4 (2 green and 2 red). This can be calculated using combinations, denoted as "C," and given by:

Total ways to choose 2 marbles from 4 = C(4, 2)

C(4, 2) = 4! / [2!(4 - 2)!] = (4 * 3) / (2 * 1) = 6

So, there are 6 equally likely ways to choose 2 marbles from the container.

Now, let's calculate the number of ways to choose 2 green marbles out of 2. This is simply 1 way because you can only choose both green marbles in one way.

Therefore, the probability of drawing 2 green marbles is:

Probability = (Number of favorable outcomes) / (Total number of outcomes)

Probability = 1 (favorable outcomes) / 6 (total outcomes)

Probability = 1/6

So, the probability that both marbles drawn are green is 1/6.

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