Class 12 CBSE Applied Maths Probability Exercise 9.3

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 9.2 Exercise 9.4 Exercise 9.5 Exercise 9.6

Q1. A coin is tossed 5 times. Find the probability of getting

(i) at least 4 heads
(ii) atmost 4 heads.

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Q2. A fair coin is tossed 6 times. What is the probability of getting exactly 4 heads? Atleast 4 heads?

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Q3. If X denotes the number of heads ina single toss of 4 fair coins, then find

(i) P(X =3) br (ii) P(X < 2)
(iii) P(X ≤ 2) (iv) P(1< X ≤ 3).

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Q4. Ten coins are tossed. What is the probability of getting atleast 8 heads?

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Q5. Four cards are drawn one by one with replacement from a well-shuffled deck of playing cards. Find the probability that atleast three cards are of diamond

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Q6. A coin is tossed four times. If X is the number of heads observed, then find the probability distribution of X

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Q7. Find the probability distribution of the number of successes in two tosses of a die when a success is defined as getting a number greater than 4.

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Q8. Find the probability distribution of number of doublets in three throws of a pair of dice.

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Q9. From a well-shuffled pack of 52 cards, 3 cards are drawn one by one with replacement. Find the probability distribution of number of queens.

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Q10. An urn contains 5 white and 3 blue balls. If two balls are drawn one by one with replacement, then find the probability distribution of the number of white balls drawn.

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Q11. From a lot of 30 bulbs which include 6 defective bulbs, a sample of 4 bulbs is drawn at random with replacement. Find the probability distribution of the number of defective bulbs drawn.

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Q12. A die is thrown 5 times. Find the probability that an odd number will turn up

(i) exactly 3 times
(ii) atleast 4 times
(ii) maximum 3 times.

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