#### Question

A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random. What is the probability that the marble taken out will be (i) red? (ii) white? (iii) not green?

#### Solution

Total number of marbles = 5 + 8 + 4

= 17

(1)Number of red marbles = 5

Probability of getting a red marble = `"Number of favorable outcome"/"Total number of outcome"`

= 5/17

(2) Number of white marbles = 8

Probability of getting a white marble = `"Number of favorable outcome"/"Total number of outcome"`

= 8/17

(3) Number of green marble = 4

Probability of getting a green marble = `"Number of favorable outcome"/"Total number of outcome"`

= 4/17

Probability of not getting a green marble = `1 - 4/17 = 13/17`

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Solution A box contains 5 red marbles, 8 white marbles and 4 green marbles. One marble is taken out of the box at random Concept: Probability - A Theoretical Approach.