Quantitative Reasoning

Probability

Easy

A game consists of tossing a coin 3 times. Hanif wins if all the tosses give the same result. What is the probability that he loses the game?

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{1}{3}$

$\frac{2}{3}$

✅ Correct Option: 2

Total outcomes = $2^3 = 8$ . Winning outcomes (all same): HHH and TTT, so 2 outcomes.

P(win) = $2/8 = 1/4$ . P(lose) = $1 - 1/4 = 3/4$ .

2023: 30 May Shift 3

A dice is thrown twice. Find the probability of getting an odd number in the second throw and a multiple of 3 in the first throw.

2026: 20 May Shift 1

The probability that a card drawn from a pack of 52 cards will be a spade or a queen, is

2026: 19 May Shift 1

A box contains 3 blue, 2 white, and 5 red balls. If a ball is drawn at random from the box, what is the probability that it will be red?

2025: 14 May Shift 2

Match List-I with List-II

List-I	List-II
(Statements/Expressions, etc.)	(Value/Expressions, etc.)
(A) P(E)	(I) 1
(B) The probability of an impossible event	(II) P(A). P(B)
(C) For exhaustive events E₁ and E₂, P(E₁ ∪ E₂)=	(III) 1-P(Ē)
(D) For independent events A and B, P(A ∩ B)=	(IV) 0

Choose the correct answer from the options given below:

2026: 22 May Shift 2

The probability that a card drawn from a pack of 52 cards will be a king or a diamond, is?

2026: 30 May Shift 1

In a deck of lotteries, there are 10 prizes and 25 blanks. A lottery is drawn at random. What is the probability of getting prize?

Solution