Independent Events, Class 12 Mathematics NCERT Solutions

1. There will be total 10 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying.

1. A die is tossed twice. The probability of getting 1, 2, 3 or 4 on the first toss and 4, 5, or 6 on the second toss is:

 2/5

 1/2

 1/3

 1/9

Question 1 of 10

2. If A and B are two independent events, then P(A ∩ B) =

 P(A)/P(B)

 P(A).P(A | B)

 P(A).P(B | A)

 P(A).P(B)

Question 2 of 10

3. What is the probability of picking a spade from a normal pack of cards and rolling an odd number on a die?

  ½

 0

 ¼

 1/8

Question 3 of 10

4. If A and B are two independent events, then

 A

 B

 C

 D

Question 4 of 10

5. Two parts A and B of a machine is manufactured by a firm. Out of 100 A’s 12 are likely to be defective and Out of 100 B’s 8 are likely to be defective. The probability that a machine manufactured by the firm is free from any defect is:

 619/625

 119/625

 6/625

 506/625

Question 5 of 10

6. A and B are two independent events. The probability that both A and B occur is 1/6 and the probability that neither of them occurs is 1/3. The probability of occurrence of A is.

 1/2

 1/6

 5/6

 1/3

Question 6 of 10

7. A and B are two independent events. The probability that both A and B occur is 1/6 and the probability that neither of them occurs is 1/3. The probability of occurrence of A is.

 1/2

 1/6

 5/6

 1/3

Question 7 of 10

8. A student can solve 80% problems of a book and second student solve 60% problem of same book. Find the probability that at least one of them will solve a selected problem from this book.

 23/25

 13/25

 12/25

 2/25

Question 8 of 10

9. If A and B are independent events, such that P(A ∪ B)= 0.7, P(B) = 0.5, then P(A) = ……

  0.2

 0.3

  0.4

 0.6

Question 9 of 10

10. A student can solve 70% problems of a book and second student solve 50% problem of same book. Find the probability that at least one of them will solve a selected problem from this book.

 13/20

 17/20

 3/20

 7/20

Question 10 of 10

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