COMEDK 2025 Afternoon Shift | Probability Question 1 | Mathematics

Five persons entered the lift cabin on the ground floor of an eight-floor apartment. Suppose that each of them independently and with equal probability, can leave the cabin at any floor beginning with the first floor, then the probability of all five persons leaving at different floors is :

$\frac{7}{{ }^7 P_5}$

$\frac{{ }^7 P_5}{7^5}$

$\frac{5!}{7^5}$

$\frac{{ }^7 P_5}{5^7}$

COMEDK 2025 Afternoon Shift

MCQ (Single Correct Answer)

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A bag contains $(n+1)$ coins. It is known that one of these coins has a head on both sides, whereas the other coins are fair. One of these coins is selected at random and tossed. If the probability that the toss results in heads is $\frac{7}{12}$, then the value of $n$ is :

COMEDK 2025 Afternoon Shift

MCQ (Single Correct Answer)

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In a kabaddi league, two matches are being played between Jaipur and Delhi. It is assumed that the outcomes of the two games are independent. The probability of Jaipur winning, drawing and losing the game against Delhi are $\frac{1}{2}, \frac{3}{10}$ and $\frac{1}{5}$ respectively. Each team gets 5 points for win, 3 points for draw and 0 points for loss in a game. After two games, find the probability that Jaipur has more points than Delhi.

$\frac{1}{4}$

$\frac{3}{20}$

$\frac{11}{20}$

$\frac{2}{5}$

COMEDK 2025 Afternoon Shift

MCQ (Single Correct Answer)

-0

If for two events $A$ and $B, P(A-B)=\frac{1}{5}$ and $P(A)=\frac{3}{5}$ then $P(B / A)=$

$\frac{2}{3}$

$\frac{1}{2}$

$\frac{3}{5}$

$\frac{2}{5}$

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