Algebra

Probability

Medium

applied

Mean and variance of a binomial distribution are 6 and 2 respectively. The probability of 2 successes will be

$\frac{12}{3^5}$

$\frac{16}{3^7}$

$\frac{12}{3^7}$

$\frac{16}{3^5}$

✅ Correct Option: 2

Solution Coming Soon

2026: 25 May Shift 1

Bag A contains 3 red and 4 black balls, and Bag B contains 5 red and 'n' black balls. One ball is drawn at random from one of the bags and it is found to be red. If the probability that it was from bag B is 35/68, then the value of 'n' is:

2025: 13 May Shift 2

A coin is tossed twice and outcomes are recorded. If the random variable X represents the number of heads in the experiment, then the expectation of X will be:

2026: 26 May Shift 2

A random variable $X$ has the following probability distribution:

X	0	1	2	3	4
P(X)	0	$\dfrac{k}{2}$	$\dfrac{3k}{2}$	$\dfrac{k}{3}$	$2k$

Match the LIST-I with LIST-II

	LIST-I		LIST-II
A.	Value of $k$	I.	$\dfrac{7}{13}$
B.	Value of $P(X \leq 3)$	II.	$\dfrac{3}{26}$
C.	Value of $P(X > 1)$	III.	$\dfrac{23}{26}$
D.	Value of $P(X < 2)$	IV.	$\dfrac{3}{13}$

Choose the correct answer from the options given below:

2022: 30 Aug Shift 1

The probability that the task is completed on time by none of them is

2025: 22 May Shift 2

Bag I contains 3 black and 2 white balls. Bag II contains 2 black and 4 white balls. A bag is selected at random and then a ball is drawn from it. The probability that the ball drawn is black is:

2025: 13 May Shift 2

A random variable X has the following probability distribution:

X	0	1	2	3
P(X)	0.1	0.2	0.3	0.4

The variance of the X will be:

Mean and variance of a binomial distribution are 6 and 2 respectively. The probability of 2 successes will be

Solution

Related questions:

Keyboard Shortcuts

CUET Mathematics Past Year Questions (Topic-Wise)