The probability of drawing two green marbles from a bag containing 8 red, 2 blue, and 5 green marbles is
or approximately 0.095. This is calculated by multiplying the probabilities of drawing a green marble on the first and second draws.
To find the probability of drawing two green marbles, you can use the concept of probability. The probability of an event is given by the ratio of the number of favorable outcomes to the total number of possible outcomes.
In this case, there are a total of 15 marbles in the bag (8 red + 2 blue + 5 green). When drawing two marbles without replacement, the total number of possible outcomes for the first draw is 15, and for the second draw, it is 14.
The number of favorable outcomes for both draws to be green is the product of the number of green marbles for each draw, which is 5 for both draws.
So, the probability (P) is given by:
Simplify:
Multiply the numerators and denominators:
Therefore, the probability that both marbles drawn will be green is
or approximately 0.095 to the nearest thousandth.