The total number of marbles in the bag is: 8 + 4 + 7 = 19
The probability of drawing a red marble on the first draw is: 8/19
Since the marble was not replaced, the probability of drawing a red marble on the second draw is: 7/18
Again, since the marble was not replaced, the probability of drawing a red marble on the third draw is: 6/17
To find the probability of all three marbles being red, we need to multiply the probabilities of each draw:
(8/19) x (7/18) x (6/17) = 0.0487 or 4.87%
Therefore, the exact probability of drawing all three red marbles is 0.0487 or 4.87%.
Answer this.
A bag contains 8 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
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