COMEDK 2025 Evening Shift | Probability Question 14 | Mathematics

A pot contains 5 red and 2 green balls. A ball is drawn at random from this pot. If a drawn ball is green, then a red ball is added to the pot. If a drawn ball is red, then a green ball is added to the pot, while the original ball drawn is not replaced in the pot. Now a second ball is drawn at random from the pot, what is the probability that the second ball drawn is a red ball?

$\frac{12}{49}$

$\frac{32}{49}$

$\frac{3}{7}$

$\frac{27}{49}$

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

-0

An unbiased die is tossed twice. What is the probability of getting a 4,5 or 6 on the first toss and a $1,2,3$ or 4 on the second toss?

$\frac{5}{6}$

$\frac{3}{4}$

$\frac{2}{3}$

$\frac{1}{3}$

COMEDK 2025 Afternoon Shift

MCQ (Single Correct Answer)

-0

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)

-0

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 :

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