A bag contains $5$ white balls, $7$ red balls, $4$ black balls and $2$ blue balls. One ball is drawn at random from a bag. What is the probability that ball drawn is red or black?

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Solution

Step 1 Determining the probability:
Given that a bag contains $5$ white balls, $7$ red balls, $4$ black balls and $2$ blue balls.
So, the total number of outcomes $= 5 + 7 + 4 + 2 = 18$
We have to find the probability of getting a red or black ball.
So, the total number of favorable outcomes $= 7 + 4 = 11$
The formula for probability is
$P r o b a b i l t y = \frac{N u m b e r o f f a v o r a b l e o u t c o m e s}{T o t a l n u m b e r o f o u t c o m e s} ∴ P (r e d o r b l a c k) = \frac{11}{18}$
Hence, the probability of getting a red or black ball is $\frac{11}{18}$ .

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