Class 12 CBSE Applied Maths Probability Exercise 9.2

Class 12 CBSE Applied Maths aims to develop an understanding of basic mathematical and statistical tools and their applications in the field of commerce (business/ finance/economics) and social sciences. Topics covered in Class 12th Applied Maths includes : Numbers, Quantification and Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index Numbers and Time-based data , Financial Mathematics , Linear Programming.


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Exercise 9.1 Exercise 9.3 Exercise 9.4 Exercise 9.5 Exercise 9.6

Q1. A boy throws a coin. He is to receive two rupees for getting a head.Find his expectation(mean receipt).

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Q2. A game at a school fair costs ₹10, with a prize of ₹50.If the probability of winning is 1/10,is it a fair game?

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Q3. In a certain village, families are strictly limited to two children. The probability of the number of children of any given is as follows:



Find the mean number of children.

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Q4. Find the mean and variance for the following probability distribution



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Q5. The probability distribution of a random variable X is given as below :



(i) Find the value of k.

(ii) Determine the mean of the distribution.

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Q6. A discrete random variable X has the following probability distribution :



(i) Find the value of C.

(ii) Find the mean of the distribution.

(iii) If ∑pix2i=14,find the variance of the distribution.

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Q7. Find the mean and variance of number of heads in three tosses of a fair coin.

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Q8. Two cards are drawn successively without replacement from a well-shuffled pack of variance of 52 cards.Find the mean,variance and standard deviation of the number of kings.

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Q9. An urn contains 5 red and 2 black balls. Two balls are randomly drawn without replacement. Find the probability distribution of the black balls drawn, Also, find the mean and variance of the black balls drawn.

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Q10. A box contains 4 red and 5 black marbles. Find the probability distribution of the red marbles ina random draw of three marbles. Also find the mean, variance and standard deviation of the distribution,

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Q11. From a lot of 6 items containing 2 defective items, a sample of 4 items is drawn at random (without replacement).If the random variable X denotes the number of defective items in the sample,find:

(i) the probability distribution of X.
(ii) the mean of the distribution,
(iii) the variance of the distribution.

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Q12. Two positive numbers are selected at random (without replacement) from the first five positive integers.Let X denote the larger of the two numbers obtained.Find the mean and the variance of the distribution

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