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

Question 89 Probability Exercise 13.1

A bag contains 3 red balls and 5 black balls. A ball is drawn at random from the bag.

What is the probability that the ball drawn is not red.



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 bag contains 3 red and 5 black balls.

So, the total no. of possible outcomes = 8 (3 red + 5 black)


\overline{\mathrm{E}}=\text { event of getting no red ball. }

From the previous question we already have P(E) = 3/8

\begin{aligned} &P(E)+P(\bar{E})=1 \\ &P(\overline{\mathrm{E}})=1-P(E) \\ &P(\bar{E})=1-\frac{3}{8} \\ &P(\bar{E})=\frac{5}{8} \end{aligned}

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