Question

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answer 1

Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.

What is Probability?

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Given the bag contains  3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,

$\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198$

Hence, the exact probability that all three marbles are drawn will be green is 0.02198.

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