CLASS 8 MATHS · DATA HANDLING

Probability of simple events

Probability = number of favourable outcomes ÷ total number of equally likely outcomes.

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Worked examples

Example 1 · level 1

A spinner has 4 equal parts numbered 1 to 4. What is the probability that it stops on an even number? (answer as a fraction)

Show solution
  1. Even numbers from 1 to 4: 2, 4 (2 of them) out of 4.
  2. Probability = 2/4 = 1/2.

Answer: 1/2

Example 2 · level 2

A bag at a Durga Puja fair has 6 red, 8 blue and 5 green balls. One ball is drawn at random. What is the probability that it is red? (answer as a fraction)

Show solution
  1. Total balls = 6 + 8 + 5 = 19. Red balls = 6.
  2. Probability = 6/19.

Answer: 6/19

Example 3 · level 3

Cards numbered 1 to 25 are shuffled and one is picked at random. What is the probability that the number is a multiple of 5? (answer as a fraction)

Show solution
  1. Multiples of 5 up to 25: 5, 10, … , 25, which is 5 cards out of 25.
  2. Probability = 5/25 = 1/5.

Answer: 1/5

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