Trigonometry
Inverse Trigonometric Functions
MCQ (Single Correct Answer)Subjective
1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

A coin is tossed again and again. If tail appears on first three tosses, then the chance that head appears on fourth toss is

A
$${1 \over {16}}$$
B
$${1 \over {2}}$$
C
$${1 \over {8}}$$
D
$${1 \over {4}}$$
2
WB JEE 2012
MCQ (Single Correct Answer)
+1
-0.33
Two decks of playing cards are well shuffled and 26 cards are randomly distributed to a player. Then, the probability that the player gets all distinct cards is
A
$${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
B
2 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
C
213 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
D
226 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$
3
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
$\frac{1}{7}$
4
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
$\frac{2}{365}$
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