There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A disc is drawn at random from the box. Find the probability that the number on the disc is:
(i) an odd number
(ii) divisible by 2 and 3 both
(iii) a number less than 16

Question

There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A disc is drawn at random from the box. Find the probability that the number on the disc is:
(i) an odd number
(ii) divisible by 2 and 3 both
(iii) a number less than 16

KnowledgeBoat · Accepted Answer

Given, There are 25 discs numbered from 1 to 25. Sample space:S={1, 2, 3, …, 25} Total number of outcomes = 25 (i) Let A be the event of getting an odd number, then A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25} ∴ The number of favourable outcomes to the event A = 13 P(A) = Hence, the probability of getting an odd number is . (ii) Let B be the event of getting a number divisible by both 2 and 3, then B = {6, 12, 18, 24} ∴ The number of favourable outcomes to the event B = 4 P(B) = Hence, the probability of getting a number divisible by both 2 and 3 is . (iii) Let C be the event of getting a number less than 16, then C = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15} ∴ The number of favourable outcomes to the event C = 15 P(C) = Hence, the probability of getting a number less than 16 is .

Mathematics

There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A disc is drawn at random from the box. Find the probability that the number on the disc is:
(i) an odd number
(ii) divisible by 2 and 3 both
(iii) a number less than 16

Probability

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Mathematics

There are 25 discs numbered 1 to 25. They are put in a closed box and shaken thoroughly. A disc is drawn at random from the box. Find the probability that the number on the disc is:(i) an odd number(ii) divisible by 2 and 3 both(iii) a number less than 16

Probability

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(iii) a number less than 16

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