On basis of information below give Answer to question 1 -4 :
Q1)-There are 200 students in commerce batch of Khalsa college. Out of them 100 play cricket, 50 play hockey and 60 play basketball. 3o students play both cricket and hockey, 45 students play both cricket and basketball and 35 students play both hockey and basketball.
What is the maximum number of students who play all the games ?
Q2)-What is minimum number of students who play all three games ?
Q3)-What is the maximum number of students who play at least one game ?
Q4)-What is the minimum number of students playing at least one game ?
Q5)-Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected. The probability of A is 1/7 and that of B is 2/9. Find the probability that both of them are selected.
Q6)-A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
Q7)-A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?
Q8)-A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is:
Q9)-If P(A) = 5/13, P(B) = 7/13, and P(A ∩ B) = 8/13, Find P(A ∪ B)?
Q10)-An unbiased coin is tossed twice. Find the probability of getting 1,2,3 or in the first toss and 4,5 or 6 in second attempt ?
Answers:
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Q1)-There are 200 students in commerce batch of Khalsa college. Out of them 100 play cricket, 50 play hockey and 60 play basketball. 3o students play both cricket and hockey, 45 students play both cricket and basketball and 35 students play both hockey and basketball.
What is the maximum number of students who play all the games ?
30
20
10
40
Q2)-What is minimum number of students who play all three games ?
10
20
30
none of these
Q3)-What is the maximum number of students who play at least one game ?
100
40
120
130
Q4)-What is the minimum number of students playing at least one game ?
100
120
130
none of these
Q5)-Two brother X and Y appeared for an exam. Let A be the event that X is selected and B is the event that Y is selected. The probability of A is 1/7 and that of B is 2/9. Find the probability that both of them are selected.
1/63
2/35
2/63
9/14
Q6)-A die is thrown twice and the sum of the numbers appearing is observed to be 6. find the conditional probability that the number 4 has appeared at least once?
1/5
3/5
2/5
None of these
Q7)-A man and his wife appear in an interview for two vacancies in the same post. The probability of husband's selection is (1/7) and the probability of wife's selection is (1/5). What is the probability that only one of them is selected ?
2/7
1/7
4/5
3/4
Q8)-A box contains 3 white, 4 red and 7 blue erasers. If five erasers are taken at random then the probability that all the five are blue color is:
13/211
2/126
3/286
12/121
Q9)-If P(A) = 5/13, P(B) = 7/13, and P(A ∩ B) = 8/13, Find P(A ∪ B)?
4/13
5/13
6/13
None of these
Q10)-An unbiased coin is tossed twice. Find the probability of getting 1,2,3 or in the first toss and 4,5 or 6 in second attempt ?
2/3
5/3
1/3
7/3
Answers:
- a
- b
- c
- c
- c
- c
- a
- c
- a
- c
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