LILHA EDUCATION CENTRE - CA FOUNDATION-PROBABILITY

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1 point

1/6

1/3

2/3

5/6

Clear selection

2. P (A) = 2/3; P(B) = 3/5; P(A∪B) = 5/6. Find P (B/A)

1 point

11/20

13/20

13/18

None

Clear selection

3. If P (A B) = P (A) × P (B), then the events are:

1 point

Independent events

Mutually exclusive events

Exhaustive events

Mutually inclusive events

Clear selection

4. E (XY) is also known as:

1 point

E(X) + E (Y)

E(X) E (Y)

E(X) - E (Y)

E(X) ÷ E (Y)

Clear selection

5. In a beg, there were 5 while, 3 red, and 2 black balls. Three ball are drawn at a time what is the probability that three ball drawn are white?

1 point

1/20

1/24

1/120

None of these

Clear selection

6. In how many ways can the letters of ‘REGULATION’ be arranged so that the vowels come at odd places?

1 point

1/252

1/144

144/252

None of these

Clear selection

7. In a pack of playing cards with two jokers probability of getting king of spade is

1 point

4/13

4/52

1/52

1/54

Clear selection

1 point

3/7

2/10

1/10

None of the above

Clear selection

1 point

5/12

7/12

11/15

3/8

Clear selection

10. E (13x + 9) = _____________

1 point

13x

13E(x)

13E(x) + 9

Clear selection

11. A dice is thrown once. What is the mathematical expectation of the number on the dice?

1 point

16/6

13/2

3.5

4.5

Clear selection

12. If P (A/B) = P(A), then A and B are

1 point

Mutually Exclusive Events

Dependent Events

Independent Events

Composite Events

Clear selection

13. A bag contains 3 white and 5 black balls and second bag contains 4 white and 2 black balls. If one ball is taken from each bag, the probability that both the balls are white is______________

1 point

1/3

1/4

1/2

None of these

Clear selection

14. The odds in favour of a solving a problem is 5:7 and odds against B solving the same problem is 9:6. What is the probability that if both of them try, the problem will be solved?

1 point

117/180

181/200

147/180

119/180

Clear selection

15. Consider Urn I: 2 White balls, 3 Black BallsUrn II: 4 White Balls, 6 Black BallsOne ball is randomly transferred from first to second Urn, then one ball is drawn from II Urn. The probability that drawn ball is white is

1 point

22/65

22/46

22/55

21/45

Clear selection

16. If P (A∪B) = P(A), Find P (A∩B).

1 point

P(A). P(B)

P(A) + P(B)

P(B)

Clear selection

17. In how many ways a team of 5 can be made out of 7 boys and 8 girls, if 2 girls are compulsory to from a Team.

1 point

2,646

1,722

2,702

980

Clear selection

18. A bag contains 5 Red balls, 4 Blue balls and ‘m’ green balls. If the random probability of picking two green balls is 1/7. What is the no. of green balls (m).

1 point

None of the above

Clear selection

19. The probability of girls getting scholarship is 0.6 and the same probability for Boy is 0.8. Find the probability that at least one of the categories getting scholarship.

1 point

0.32

0.44

0.92

None of the above

Clear selection

20.

1 point

Clear selection

21. A coin is tossed 5 times, what is the probability that exactly 3 heads will occur.

1 point

5/16

1/32

5/36

3/32

Clear selection

22. Exactly 3 girls are to be selected from 5 girls and 3 boys. The probability of selecting 3 girls will be __________

1 point

5/28

1/56

15/28

None

Clear selection

23. Two unbiased dice are thrown. The Expected value of the sum of numbers on the upper side is;

1 point

3.5

Clear selection

24. One card is drawn from pack of 52, what is the probability that it is a king or a queen?

1 point

11/13

2/13

1/13

None of these

Clear selection

25. In a packet of 500 pens, 50 are found to be defective. A pen is selected at random. Find the probability that it is non defective.

1 point

8/9

7/8

9/10

2/3

Clear selection

26. Four married couples have gathered in a room. Two person are selected at random amongst them, find the probability that selected persons are a gentleman and a lady but not a couple.

1 point

1/7

3/7

1/8

3/8

Clear selection

27. A term of 5 is to be selected from 8 boys and three girls. Find the probability that it includes two particular girls.

1 point

2/30

1/5

2/11

8/9

Clear selection

28.

1 point

3/4

1/4

3/16

None of theses

Clear selection

29. A card is drawn out of a standard pack of 52 cards. What is the probability of drawing a king or red colour?

1 point

1/4

4/13

7/13

1/2

Clear selection

30. A player tosses two fair coins, he wins Rs.5 if 2 heads appear, Rs.2 if one head appears and Rs.1 if no head occurs. Find his expected amount of winning.

1 point

2.5

3.5

4.5

5.5

Clear selection

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