To find the probability of both marbles drawn being green, we need to consider the total number of ways two marbles can be drawn from the bag and the number of ways both marbles drawn are green.
Total number of marbles in the bag = 4 (red) + 2 (blue) + 3 (green) = 9
Total number of ways to draw 2 marbles out of 9 = 9C2 = 36 (combinations)
Number of ways to draw 2 green marbles out of 3 = 3C2 = 3 (combinations)
Therefore, the probability that both marbles drawn will be green is:
P(both marbles are green) = Number of ways to draw 2 green marbles / Total number of ways to draw 2 marbles = 3 / 36 = 1/12
So, the exact probability that both marbles drawn will be green is 1/12 or approximately 0.0833.
A bag contains 4 red marbles, 2 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be green
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