probability - 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 (i) red ? (ii) not red?

Krishna (last edited 4 years ago) (Expert, Educator @Qalaxia)

Step 1: Find the total number of balls in side the bag

GIVEN: Number of red balls = 3

Number of black balls = 5

Total number of balls = 5 + 3 = 8

Step 2: Find the probability of drawing red balls

Number of favorable outcomes = number of red balls = 3

(i) Probability of drawing red balls = \frac{\text{Number of balls}}{\text{ Total number of balls}} = \frac{3}{8}

Step 3: Find the probability of drawing not red balls

Number of favorable outcomes = number of not red balls = number of block balls = 5

(ii) Probability of drawing black balls = \frac{Number\ of\ block\ balls}{Total\ number\ of\ balls}=\frac{5}{8}