Class 11 CBSE Applied Maths Probability Exercise 12.5
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.
(i) If P(A)= 1/2 P(B) = 0, then what can you say about P(A|B)?
(ii) If A and B are events such that P(A | B) = P(B| A), then show that P(A) = P(B).
Solution :
Q2. If P(not A) = 0.7, P(B) = 0.7 and P(B| A) = 0.5, then find P(A | B) and P(A U B).
Solution :
Q3. Compute P(A |B) when P(A) =1/5 , P(B) = 2/5, P(AUB)=3/5
Solution :
Q4. A die is thrown twice and the sum of numbers appearing is observed to be 6. What is the conditional probability that the number 4 has appeared atleast once?
Solution :
Q5. A pair of dice is thrown and the sum of the numbers is observed to be even. What is the probability that both dice have come up with even numbers?
Solution :
Q6. A family has two children. What is the probability that both the children are boys given that atleast one of them is a boy?
Solution :
Q7. One card is drawn from a well-shuffled pack of 52 cards. If E is the event ‘the card drawn is a king or a queen’ and F is the event ‘the card drawn is a queen or an ace’, then find the probability of conditional event E/F.
Solution :
Q8. Iroll two dice and get asum more than 9. What is the probability that the number on the first die is even?
Solution :
Q9. In a certain school, 20% of the students failed in English, 15% of the students failed in Mathematics and 10% of the students failed in both English and Mathematics. A student is selected at random. If he passed in English, what is the probability that he also passed in Mathematics?
Solution :
Q10.
60% students read Hindi newspaper, 40% students read Tamil newspaper and 20% students
read both Hindi and Tamil newspaper. Find the probability that a student selected at random
reads
(i) Tamil newspaper given that he has already read Hindi newspaper.
(ii) Hindi newspaper given that he has already read Tamil newspaper.
(iii) neither Hindi nor Tamil newspaper.
Solution :
