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 :
Answer & explanation
Correct answer: option 3
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)