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?
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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