WB JEE 2011 | Probability Question 8 | Mathematics

WB JEE 2011

MCQ (Single Correct Answer)

-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

$${1 \over {16}}$$

$${1 \over {2}}$$

$${1 \over {8}}$$

$${1 \over {4}}$$

WB JEE 2012

MCQ (Single Correct Answer)

-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

$${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

2 $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

2¹³ $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

2²⁶ $$\times$$ $${}^{52}{C_{26}}$$ / $${}^{104}{C_{26}}$$

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

Consider the sequence of numbers $(1,2,3, \ldots \ldots, 13)$. A person choose three numbers at random from the sequence. The probability that the chosen three number form an A.P. is

$\frac{21}{157}$

$\frac{18}{143}$

$\frac{29}{180}$

$\frac{24}{163}$

WB JEE 2026

MCQ (Single Correct Answer)

-0.25

A mapping is selected at random from all mappings $f: A \rightarrow A$, where set $A=\{1,2,3 \ldots, n\}$. If the probability that the mapping is injective is $\frac{3}{32}$, then the value of $n$ is

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