Each of the letter of the word 'BOUNDARIES' is written on identical cards and put in the bag. they are shuffled if a card is drawn at random, What is the probability that the letter is (i) a consonant (ii) one of the letter of the word 'LUCKNOW' ? (iii) one of the letter of the word 'INDIA' ?

Question

KnowledgeBoat · Accepted Answer

(i) No. of consonants in the word 'BOUNDARIES' = 5 [B, N, D, R, S] ∴ No. of favourable outcomes = 5 Total no. of letters in the word 'BOUNDARIES' = 10. ∴ No. of possible outcomes = 10 P(that card drawn has a consonant) = Hence, probability of getting a consonant = . (ii) No. of different letters in the word 'LUCKNOW' that are also present in the word 'BOUNDARIES'` = 3 (U, N, O) ∴ No. of favourable outcomes = 3 P(that the letter on card is a letter of the word 'LUCKNOW') = Hence, probability of getting one of the letter of the word 'LUCKNOW' = . (iii) No. of different letters in the word 'INDIA' that are also present in the word 'BOUNDARIES'` = 4 (I, N, D, A) ∴ No. of favourable outcomes = 4 P(that the letter on card is a letter of the word 'INDIA') = Hence, probability of getting one of the letter of the word 'INDIA' = .

Mathematics

Probability

Related Questions

Find the probability that the month of February may have 5 Wednesdays in
(i) a leap year
(ii) a non-leap year

Sixteen cards are labelled as a, b, c, ….., m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn is :
(i) a vowel
(ii) a consonant
(iii) none of the letters of the word median.

An integer is chosen between 0 and 100. What is the probability that it is
(i) divisible by 7?
(ii) not divisible by 7?

Cards marked with numbers 1, 2, 3, 4, ……, 20 are well-shuffled and a card is drawn at random. What is the probability that the number on the card is :
(i) a prime number
(ii) divisible by 3
(iii) a perfect square?

Mathematics

Each of the letters of the word 'BOUNDARIES' is written on identical cards and put in the bag. They are well-shuffled. If a card is drawn at random, What is the probability that the letter is(i) a consonant ?(ii) one of the letter of the word 'LUCKNOW' ?(iii) one of the letter of the word 'INDIA' ?

Probability

Related Questions

Find the probability that the month of February may have 5 Wednesdays in(i) a leap year(ii) a non-leap year

Sixteen cards are labelled as a, b, c, ….., m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn is :(i) a vowel(ii) a consonant(iii) none of the letters of the word median.

An integer is chosen between 0 and 100. What is the probability that it is(i) divisible by 7?(ii) not divisible by 7?

Cards marked with numbers 1, 2, 3, 4, ……, 20 are well-shuffled and a card is drawn at random. What is the probability that the number on the card is :(i) a prime number(ii) divisible by 3(iii) a perfect square?

Find the probability that the month of February may have 5 Wednesdays in
(i) a leap year
(ii) a non-leap year

Sixteen cards are labelled as a, b, c, ….., m, n, o, p. They are put in a box and shuffled. A boy is asked to draw a card from the box. What is the probability that the card drawn is :
(i) a vowel
(ii) a consonant
(iii) none of the letters of the word median.

An integer is chosen between 0 and 100. What is the probability that it is
(i) divisible by 7?
(ii) not divisible by 7?

Cards marked with numbers 1, 2, 3, 4, ……, 20 are well-shuffled and a card is drawn at random. What is the probability that the number on the card is :
(i) a prime number
(ii) divisible by 3
(iii) a perfect square?