Question

20 cards are numbered from 1 to 20. One card is drawn at random. What is the probability that the number on the cards is greater than 12?

Answer 1

Clearly, the sample space is given by S = {1, 2, 3, 4, 5........19, 20}.
i.e. n(S) = 20

Let E₄ = event of getting a number greater than 12
Then E₄ = {13, 14, 15, 16, 17, 18, 19, 20}
i.e. n(E₄) = 8
Hence, required probability = P(E₄) = \[\frac{8}{20} = \frac{2}{5}\]