1
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

If for any two events $$\mathrm{A}$$ and $$\mathrm{B}, P(A)=\frac{4}{5}$$ and $$P(A \cap B)=\frac{7}{10}$$, then $$P(B / A)$$ is equals to:

A
$$\frac{1}{10}$$
B
$$\frac{1}{8}$$
C
$$\frac{7}{8}$$
D
$$\frac{17}{20}$$
2
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

Five fair coins are tossed simultaneously. The probability of the events that atleast one head comes up is:

A
$$\frac{27}{32}$$
B
$$\frac{5}{32}$$
C
$$\frac{31}{32}$$
D
$$\frac{1}{32}$$
3
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

Assertion (A): Two coins are tossed simultaneously. The probability of getting two heads, if it is known that at least one head comes up, is $$\frac{1}{3}$$.

Reason (R): Let E and F be two events with a random experiment, then $$\mathrm{P}(\mathrm{F} / \mathrm{E})=\frac{\mathrm{P}(\mathrm{E} \cap \mathrm{F})}{\mathrm{P}(\mathrm{E})}$$.

A
(a) Both (A) and (R) are true and (R) is the correct explanation of (A).
B
(b) Both (A) and (R) are true, but (R) is not the correct explanation of A.
C
(c) (A) is true and (R) is false.
D
(d) (A) is false, but (R) is true.
4
CBSE 12th Mathematics Delhi Set 1 - 2023
MCQ (Single Correct Answer)
+1
-0

Assertion (A): $$\int_\limits2^8 \frac{\sqrt{10-x}}{\sqrt{x}+\sqrt{10-x}} d x=3$$

Reason (R): $$\int_\limits a^b f(x) d x=\int_a^b f(a+b-x) d x$$

A
(a) Both (A) and (R) are true and (R) is the correct explanation of (A).
B
(b) Both (A) and (R) are true, but (R) is not the correct explanation of A.
C
(c) (A) is true and (R) is false.
D
(d) (A) is false, but (R) is true.
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12