Class 11 CBSE Applied Maths Probability Exercise 12.3
Class 11 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 11th Applied Maths includes : Numbers, Quantification and
Numerical Applications, Algebra, Calculus, Probability Distributions , Inferential Statistics, Index
Numbers and Time-based data , Financial Mathematics , Linear Programming.
Please Select
Q1.
A die is thrown once. What is the probability of getting
(i) a prime number
(ii) a number greater than or equal to 3
(iii) a number less than or equal to one
(iv) a number greater than 6
(v) a number less than 6
Solution :
Q2.
A card is drawn randomly from a well-shuffled pack of 52 playing cards. What is the
probability of drawing
(i) a diamond
(ii) not a diamond
(iii) an ace
(iv) not an ace
(v) an ace of spades
(vi) a black card
(vii) not a black card
(viii) a ten or a spade
(ix) a picture card or a spade?
(x) a king or 9 of hearts or 3 of spades?
Solution :
Q3.
A bag contains 9 discs of which 4 are red, 3 are blue and 2 are yellow. The discs are similar in
shape and size. If a disc is drawn from the bag, then what is probability that it is
(i) red
(ii) yellow
(iii) blue
(iv) not blue
(v) either red or yellow?
Solution :
Q4.
A letter is chosen at random from the word 'ASSASSINATION". What is the probability that
it is a
(i) vowel?
(ii) consonant?
Solution :
Q5.
A bag contains twenty discs numbered 1 to 20. A disc is drawn from the bag. What is the
probability that the number on it
(i) is a multiple of 3
(ii) is a prime number
(iii) contains a 5?
Solution :
Q6.
A fair coin with 1 marked on one face and 6 on the other and a fair die are both tossed, find
the probability that the sum of the numbers that turn up is
(i) 3
(ii) 12
Solution :
Q7. If the odds in favour of an event are 2:1, what is the probability of its happening?
Solution :
Q8. A bag contains 8 red discs and x blue discs. The odds against drawing a blue disc are 2:5. What is the value of x?
Solution :
Q9.
A commitee of two persons is selected from twomen and two women. What is the probability that the committee will have
(i) no man
(ii) one man
(iii) two men?
Solution :
Q10.
When two balls are drawn simultaneously from a bag containing 5 white and 7 black balls,
what is the probability that
(i) both balls are white
(ii) one ball is white and the other black?
Solution :
Q11. If two letters are chosen at random from the English alphabet, find the probability that both are vowwels?
Solution :
Q12. If six persons sit in a row, what is the probability that A and B are sitting on adjacent seats?
Solution :
Q13.
A die has two faces with number 1, 1 face with number 3 and 3 faces with number 2. If the die is rolled once, find :
(i) P(2)
(ii) P(1 or 3)
(iii) P(not 3).
Solution :
Q14.
Two dice are thrown.
(i) What are the odds in favour of getting the sum 5?
(ii) What are the odds against getting the sum 6?
Solution :
Q15.
Two cards are drawn simultaneously from a pack of 52 cards. Find the probability of
(i) getting both red cards
(ii) getting two red pictures.
Solution :
Q16. In a lottery, a person chooses six different numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of winning the prize in the game?
Solution :
Q17. Out of 9 outstanding students in a college, there are 4 boys and 5 girls. A team of four students is to be selected for a quiz programme. Find the probability that two are boys and two are girls.
Solution :
Q18.
A housewife buys a dozen eggs of which two turn out rotten. She chooses four eggs to
scramble for breakfast. Find the chance that she chooses
(i) all good eggs
(ii) three good and one bad
(iii) two good and two bad
(iv) atleast one bad egg.
Solution :
Q19.
In a relay race, there are six teams A, B, C, D, E, F
(i) What is the probability that A, B, C, D finish first, second, third and fourth
respectively?
(ii) What is the probability that A, B, C and D are first four to finish (in any order)?
Assume that all finishing orders are equally likely
Solution :
