COMEDK 2025 Evening Shift | Probability Question 3 | Mathematics

In a game, a man wins ₹ 1000 if he gets an even number greater than or equal to 4 on a fair dice and loses ₹ 200 for getting any other number on the dice. If he decides to throw the dice until he wins or maximum of three times, then his expected gain/loss in (₹) is -----------

$\frac{2200}{9}$ loss

$\frac{3800}{9}$ gain

$\frac{2200}{9}$ gain

$\frac{3800}{9}$ loss

COMEDK 2025 Evening Shift

MCQ (Single Correct Answer)

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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 :

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

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

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

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

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