The mean number of heads in two tosses of a coin is : Option 1: 2 Option 2: 1/2 Option 3: 1 Option 4: 3/2

Answer: 1. Solution: For n = 2 tosses with p = 1/2, mean = np = 2 x 1/2 = 1.

Algebra

Probability

Easy

common

The mean number of heads in two tosses of a coin is :

$\frac{1}{2}$

$\frac{3}{2}$

✅ Correct Option: 3

For $n = 2$ tosses with $p = \frac{1}{2}$ , mean $= np = 2 \times \frac{1}{2} = 1$ .

2025: 22 May Shift 2

Two cards are drawn successively with replacement from a well-shuffled deck of 52 cards. The probability distribution of number of aces is given by:

2026: 14 May Shift 2

A pair of unbaised dice is thrown together and sum of the numbers appearing is observed. The probability that the sum of numbers on the dice was 10, given that the observed sum was at least 9, is:

2026: 22 May Shift 2

A bag contains 8 red and 7 black balls. Two balls are drawn at random. The probability that both the balls are of the same colour is:

2026: 25 May Shift 1

For two events A and B, if $P(A) = 0.6$ , $P(B) = 0.5$ and $P(A\cup B) = 0.8$ . Then which of the following statements are TRUE ?

A. $P(A\cap B) = 0.3$ .

B. A and B are independent events.

C. $P(A'\cap B') = 0.2$ .

D. A and B are mutually exclusive events.

Choose the correct answer from the options given below:

2025: 19 May Shift 1

Match List-I with List-II

Let A and B be any two events

List-I	List-II
(A) $P(A')$	(I) $\frac{P(A \cap B)}{P(A)}; P(A) \neq 0$
(B) $P(\phi)$	(II) $\frac{P(A \cap B)}{P(B)}; P(B) \neq 0$
(C) $P(A\vert B)$	(III) $1 - P(A)$
(D) $P(B\vert A)$	(IV) 0

Choose the correct answer from the options given below:

2022: 4 Aug Shift 1

The probability distribution of a discrete random variable X is given as :

x	0	1	2	3	4
P(X=x)	0.1	k	2k	2k	k

The value of K is:

The mean number of heads in two tosses of a coin is :

Solution

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