COMEDK 2025 Afternoon Shift | Probability Question 17 | Mathematics

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)

-0

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 $P(B / A)=$

$\frac{2}{3}$

$\frac{1}{2}$

$\frac{3}{5}$

$\frac{2}{5}$

COMEDK 2025 Afternoon Shift

MCQ (Single Correct Answer)

-0

Three bags contain a number of red and white balls are as follows.

Bag I: 3 red balls

Bag II: 2 red balls and 1 white ball

Bag III: 3 White balls

The probability that bag $i$ will be chosen and a ball is selected from it is $\frac{i}{6}, i=1,2,3$. If a white ball is selected, what is the probablity that it came from Bag III

$\frac{9}{11}$

$\frac{2}{11}$

$0$

$\frac{1}{11}$

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