Algebra

Probability

Easy

common

Let X denotes the number of hours a person uses a mobile and the probability distribution of X is as

X 0 1 2 3 4
P(X) 0.1 K 2K 2K K

Then the value of K is

X	0	1	2	3	4
P(X)	0.1	K	2K	2K	K

0.15

0.20

0.12

0.16

✅ Correct Option: 1

For any probability distribution, all probabilities must add up to 1.

From the table:

$P(X = 0) = 0.1$

$P(X = 1) = K$

$P(X = 2) = 2K$

$P(X = 3) = 2K$

$P(X = 4) = K$

Since all probabilities must add up to 1:

$P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) = 1$

Substituting the values:

$0.1 + K + 2K + 2K + K = 1$

Combining like terms:

$K + 2K + 2K + K = 6K$

$0.1 + 6K = 1$

Solving for K:

$6K = 1 - 0.1$

$6K = 0.9$

$K = \dfrac{0.9}{6}$

$K = 0.15$

Therefore, the value of K is $0.15$ .

2026: 30 May Shift 2

If A and B are two independent events such that P(A) = 1/3, $P(A\cup B) = 3/5$ and P(B) = p, then which of the following are true?

(A) The value of p is $\frac{2}{5}$

(B) $P(A\cap B) = \frac{2}{15}$

(D) $P(A/B) = \frac{3}{5}$

Choose the correct answer from the options given below:

2025: 15 May Shift 2

A player participates in 3 matches against three teams T₁, T₂ and T₃.The probability of winning a match against teams T₁, T₂ and T₃ are 0.2, 0.3 and 0.9 respectively. If 'wins' can be regarded as independent events, then the probability that he

(A) wins all the 3 matches is 0.054

(B) wins no match is 0.054

(D) wins exactly one match is 0.542

Choose the correct answer from the options given below:

2022: 23 Aug Shift 1

The probability that he copied it given that his answer is correct :

2025: 19 May Shift 1

In 5 trials of binomial distribution, the probability of 3 successes is 4 times the probability of 2 successes. The probability of success in each trial is:

2022: 7 Aug Shift 2

Bag I contains 3 red and 4 black balls while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. The probability that it was drawn from Bag II is :

2025: 27 May Shift 1

A coin is tossed and a die is thrown. The probability that the outcome will be a tail on the coin or a number greater than 3 on the die is

Let X denotes the number of hours a person uses a mobile and the probability distribution of X is as X01234P(X)0.1K2K2KK Then the value of K is

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

Let X denotes the number of hours a person uses a mobile and the probability distribution of X is as

X 0 1 2 3 4
P(X) 0.1 K 2K 2K K

Then the value of K is