Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is:
(i) a prime number
(ii) a number divisible by 4
(iii) a number that is a multiple of 6
(iv) an odd number

Question

Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is:
(i) a prime number
(ii) a number divisible by 4
(iii) a number that is a multiple of 6
(iv) an odd number

KnowledgeBoat · Accepted Answer

Given, Cards in the bag: Sample space = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}. Total number of outcomes = 10 (i) Let A be the event of drawing a card with prime number, then A = {2} ∴ The number of favourable outcomes to the event A = 1 P(A) = Hence, the probability of drawing a card with prime number is . (ii) Let B be the event of drawing a card with number divisible by 4, then B = {4, 8, 12, 16, 20} ∴ The number of favourable outcomes to the event B = 5 P(B) = Hence, the probability of drawing a card with number divisible by 4 is . (iii) Let C be the event of drawing a card with multiple of 6, then C = {6, 12, 18} ∴ The number of favourable outcomes to the event C = 3 P(C) = Hence, the probability of drawing a card with multiple of 6 is . (iv) Let D be the event of drawing a card with an odd number, then D = ∅ ∴ The number of favourable outcomes to the event D = 0 P(D) = Hence, the probability of drawing a card with an odd number is 0.

Mathematics

Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is:
(i) a prime number
(ii) a number divisible by 4
(iii) a number that is a multiple of 6
(iv) an odd number

Probability

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Cards bearing numbers 2, 4, 6, 8, 10, 12, 14, 16, 18 and 20 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card which is:(i) a prime number(ii) a number divisible by 4(iii) a number that is a multiple of 6(iv) an odd number

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