Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

If A and B are two independent events then,

Match List I with List II

LIST I LIST II
A. P(A ∪ B) I. $P(A')(B')$
B. P(not A or not B) II. $P(A);P(B)≠0$
C. P(A/B) III. $1-P(A')P(B')$
D. P(neither A nor B) IV. $1-P(A)P(B)$

Choose the correct answer from the options given below :

Options:

A-I, B-IV, C-II, D-III

A-II, B-III ,C-I, D-IV

A-III, B-IV, C-II, D-I

A-IV, B-II, C-III, D-I

Correct Answer:

A-III, B-IV, C-II, D-I

Explanation:

The correct answer is Option (3) → A-III, B-IV, C-II, D-I

(A) $P(A ∪ B)=1-P(\overline A∩\overline B)$

$=1-P(\overline A)P(\overline B)$ (III)

(B) $P(\overline A∪\overline B)=P(\overline{A∩B})$

$=1-P(A∩B)=1-P(A)P(B)$ (IV)

(C) $P(A/B)=\frac{P(A∩B)}{P(B)}=\frac{P(A)P(B)}{P(B)}=P(A),P(B)≠0$ (II)

(D) $P(\overline A∩\overline B)=P(\overline A)P(\overline B)$ (I)