Question

A bag of marbles contains 12 red marbles 8 blue marbles and 5 green marbles. If three marbles are pulled out find each of the probabilities. Find the probability of pulling three green marbles out with replacement

Answer 1

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Answer 2

The probability of an event is calculated as =
`(Favorable outcomes)/(Total number of outcomes)`

Here, the total number of outcomes = 12 red marbles + 8 blue marbles + 5 green marbles

So, total marbles = 25 marbles

Number of favorable or green marbles = 5 marbles

Probability of three green marbles if drawn with replacement =
`(Number of favorable or green marbles)/(Total number of marbles)` ×
`(Number of favorable or green marbles)/(Total number of marbles)` ×
`(Number of favorable or green marbles)/(Total number of marbles)`

Probability of three green marbles if drawn with replacement =
`(5)/(25)` ×
`(5)/(25)` ×
`(5)/(25)`

Probability of three green marbles if drawn with replacement =
`(1)/(125)`