A box contains 20 cards numbered from a 1 to 20. A card is drawn at ra

1.	A box contains 20 cards numbered from a 1 to 20. A card is drawn at random form the box. Find the probability that the number on the drawn card is (i) divisible by 2 or 3 (ii) a prime number
Answer» Total number of possible outcomes, n(S) = 20 (i) Number of favorable outcomes, n(E) = 10 + 3 = 13 {(2, 4, 6, 8, 10, 12, 14, 16, 18, 20) (3, 9, 15)} ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{13}{20}\) (ii) Number of favorable outcomes, n(E) = 8 ∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{8}{20}\) = \(\frac{2}{5}\)

A box contains 20 cards numbered from a 1 to 20. A card is drawn at random form the box. Find the probability that the number on the drawn card is (i) divisible by 2 or 3 (ii) a prime number

Answer»

Total number of possible outcomes, n(S) = 20

(i) Number of favorable outcomes, n(E) = 10 + 3 = 13 {(2, 4, 6, 8, 10, 12, 14, 16, 18, 20) (3, 9, 15)}

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{13}{20}\)

(ii) Number of favorable outcomes,

n(E) = 8

∴ P(E) = \(\frac{n(E)}{n(S)}\) = \(\frac{8}{20}\) = \(\frac{2}{5}\)

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A box contains 20 cards numbered from a 1 to 20. A card is drawn at random form the box. Find the probability that the number on the drawn card is (i) divisible by 2 or 3 (ii) a prime number

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