The following letters A, D, M, N, O, S, U, Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter of the word,
(a) MONDAY?
(b) which does not appear in MONDAY?
(c) which appears both in SUNDAY and MONDAY?

Question

The following letters A, D, M, N, O, S, U, Y of the English alphabet are written on separate cards and put in a box. The cards are well shuffled and one card is drawn at random. What is the probability that the card drawn is a letter of the word,
(a) MONDAY?
(b) which does not appear in MONDAY?
(c) which appears both in SUNDAY and MONDAY?

KnowledgeBoat · Accepted Answer

Letters written on cards = {'A', 'D', 'M', 'N', 'O', 'S', 'U', 'Y'} No. of cards = 8 (a) Letters of the word MONDAY present in the cards = {'M', 'O', 'N', 'D', 'A', 'Y'} Probability that the card drawn is a letter of the word MONDAY = . Hence, required probability = . (b) Letters of the word not present in MONDAY = {'S', 'U'} Probability that the card drawn is not a letter of the word MONDAY = . Hence, required probability = . (c) Letters of the word present in SUNDAY and MONDAY are {'N', 'D', 'A', 'Y'}. Probability that the card drawn has a letter which appears both in SUNDAY and MONDAY = . Hence, required probability = .

Mathematics

Probability

ICSE 2024

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