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

Question 82 Probability Exercise 13.1

A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is Not black.

Solution:

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.

Total number of balls = 8 + 6 + 4 = 18

Total no. of possible outcomes =18

Let E = Event of getting a black ball

Number of favourable outcomes = 4 (4 black balls)

P(E) = 4/18

P(E) = 2/9

Then,

\overline{\mathrm{E}}=\text { Event of not getting a black ball }

\begin{aligned} &P(\bar{E})=1-P(E) \\ &P(\bar{E})=1-2/9 \\ &P(\bar{E})=\frac{7}{9} \end{aligned}

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