Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2025
MCQ (Single Correct Answer)
+1
-0.25

If $E$ and $F$ are two independent events with $P(E)=0.3$ and $P(E \cup F)=0.5$, then $P(E / F)-P(F / E)$ equals

A
$\frac{2}{7}$
B
$\frac{3}{35}$
C
$\frac{1}{70}$
D
$\frac{1}{7}$
2
WB JEE 2025
MCQ (Single Correct Answer)
+2
-0.5

The probability that a non-leap year selected at random will have 53 Sundays or 53 Saturdays is

A
$\frac{1}{7}$
B
$\frac{2}{7}$
C
$1$
D
$\frac{2}{365}$
3
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

Two smallest squares are chosen one by one on a chess board. The probability that they have a side in common is

A
$$\frac{1}{9}$$
B
$$\frac{2}{7}$$
C
$$\frac{1}{18}$$
D
$$\frac{5}{18}$$
4
WB JEE 2024
MCQ (Single Correct Answer)
+1
-0.25

Two integers $$\mathrm{r}$$ and $$\mathrm{s}$$ are drawn one at a time without replacement from the set $$\{1,2, \ldots, \mathrm{n}\}$$. Then $$\mathrm{P}(\mathrm{r} \leq \mathrm{k} / \mathrm{s} \leq \mathrm{k})=$$

(k is an integer < n)

A
$$\frac{\mathrm{k}}{\mathrm{n}}$$
B
$$\frac{\mathrm{k}}{\mathrm{n}-1}$$
C
$$\frac{\mathrm{k}-1}{\mathrm{n}}$$
D
$$\frac{k-1}{n-1}$$
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