Algebra

Probability

Easy

core

An alphabet has been selected from English alphabets. What is the probability that it is a vowel given that it precedes 'M' ?

5/26

3/26

6/13

1/4

✅ Correct Option: 4

The letters preceding M are A to L, that is 12 letters, and these form the reduced sample space.

Among them the vowels are A, E and I, that is 3 letters.

So the conditional probability is $\dfrac{3}{12} = \dfrac{1}{4}$ .

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Match the LIST-I with LIST-II

LIST-I	LIST-II
A. $P(X=0)$	I. $10/21$
B. $P(X=1)$	II. $5/42$
C. $P(X=2)$	III. $1/21$
D. $P(X=3)$	IV. $5/14$

Choose the correct answer from the options given below:

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Match List-I with List-II

List-I	List-II
(A) $P(A \cap B) = P(A).P(B)$	(I) $\frac{P(B \cap A)}{P(A)}, P(A) \ne 0$
(B) $\frac{P(S \cap B)}{P(B)}$ , S = Sample space	(II) A, B are independent events
(C) $P(B/A) =$	(III) $P(\bar{A} \cap \bar{B})$
(D) $P(\overline{A \cup B})$	(IV) 1

Choose the correct answer from the options given below:

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A school has to send the report cards of 3 students, but the cleark has not paid attention to match the address on the envelope with the student report card is: The probability that exactly one of the students received his or her own report card is:

An alphabet has been selected from English alphabets. What is the probability that it is a vowel given that it precedes 'M' ?

Solution

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