RD Sharma Solutions Class 10 Mathematics Solutions for Probability Exercise 13.1 in Chapter 13 - Probability

Question 91 Probability Exercise 13.1

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 not green.



When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The probability of two complementary events add up to one.


A box containing 5 red, 8 white and 4 green marbles.

So, the total no. of possible outcomes = 17 (5 red + 8 white + 4 green)

Let E= event of getting a green marble

Number of favourable outcomes = 4 (as 4 green marbles)

Probability, P(E) = Number of favourable outcomes/ Total number of outcomes

P(E) = 4/17


\overline{\mathrm{E}}=\text { Event of getting not a green marble }

Then we know that,

\begin{aligned} &P(\bar{E})=1-P(E) \\ &P(\bar{E})=1-\frac{4}{17} \\ &P(\bar{E})=\frac{13}{17} \end{aligned}

Therefore, the probability that the marble taken out is not green is 13/17.

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