1) If a coin is tossed n times, then the total number of possible outcomes is

2^{n+1}

2^{n-1}

2^{n}

2^{2n}

Answer : 2^{n}

2) If a dice is rolled 3 times, then the total number of possible outcomes is

6^{n}

6^{3}

6^{2}

6

Answer : 6^{3}

3) A card is drawn from a well shuffled pack of cards . The number of favorable cases for that card being a kind is

4

6

13

16

Answer : 4

4) If a coin is tossed three times, then the number of outcomes in which head occurs exactly two times is

2

3

1

6

Answer : 3

5) Probability of any event is always

non-negative but less equal than or equal to one

a real number less than 1

lies between -1 and 1

lies between 0 to 10

Answer : non-negative but less equal than or equal to one

6) Probability of an impossible event is

1

0

1/3

not defined

Answer : 0

7) Probability of a sure or certain event is

1

1/2

0

not defined

Answer : 1

8) A dice is rolled twice. In how many outcomes is the sum of the numbers shown on the two dice is a prime number ?

10

12

15

18

Answer : 15

9) A dice is rolled thrice. In how many outcomes is the sum of the numbers shown on them is at least 17?

15

4

5

14

Answer : 4

10) If E_{1} and E_{2} are two mutually exclusive events, then P(E_{1} ∩ E_{2}) =

1

1/2

1/4

0

Answer : 0

11) If E_{1} and E_{2} are two mutually exclusive events, and P(E_{1}) = 0.75 and P(E_{2})= 0.15 , then P(E_{1} ∪ E_{2}) =

0.6

0.9

0.09

1

Answer : 0.9

12) A coin is tossed 10 times. Find the probability of obtaining head at least once.

1/2^{10}

10/2^{10}

9/2^{10}

(2^{10} - 1)/2^{10}

Answer : (2^{10} - 1)/2^{10}

13) If a card is drawn from a well shuffled pack of cards, find the probability that the card drawn is an honour.

4/13

10/13

1/13

12/13

Answer : 4/13

14) Given that P(A) = 1/3 , P(B) = 3/5 and events A and B are independent, find P(A ∩ B).

3/7

1/5

14/15

None of these

Answer : 1/5

15) If a card is drawn from a well shuffled pack of cards, find the probability that the card drawn is a numbered card

6/13

39/52

40/52

9/13

Answer : 9/13

16) If a card is drawn from a well shuffled pack of cards, find the probability that the card drawn is a spade or an honour.

25/52

24/52

11/26

23/52

Answer : 25/52

17) The odds against an event E are 3:4. The probability of occurrence of the event E is

3/7

4/7

1/7

2/7

Answer : 4/7

18) A and B are two mutually exclusive and exhaustive events associated with a random experiment. If odds in favour of A are 2:3, then find the probability of the event B.

3/5

3/4

2/5

1/5

Answer : 3/5

19) The probability that a given problem will be solved by A,B and C are 2/3 , 5/7 and 4/5 respectively. Find the probability of the problem being solved.

40/105

101/105

103/105

None of the above

Answer : 103/105

20) If A and B are two equally likely events and the probability of happening the event B is 3/4, then the probability that event A does not happen is

3/4

1/4

2/3

1/3

Answer : 1/4

21) From a well shuffled pack of 52 cards, 3 cards are drawn at random. Find the probability of drawing an ace, a king and a jack.

16/5525

16/625

16/3125

None of these

Answer : 16/5525

22) Four cards are drawn at random from a pack of 52 cards. Find the probability of getting all the four cards of same number.

17/1665

1/20825

7/25850

none of these

Answer : none of these

23) What is the probability that a number selected from the numbers 1,2,3.....,20 is a prime number when each of the given numbers is equally likely to be selected ?

7/10

2/15

2/5

3/5

Answer : 2/5

24) Tickets numbered from 1 to 18 are mixed up together and then a ticket is drawn at random. Find the probability that the ticket has a number which is a multiple of 2 or 3.

1/3

3/5

2/3

5/6

Answer : 1/3

25) In a lottery of 100 tickets numbered 1 to 100, 2 tickets are drawn simultaneously . Find the probability that both the tickets drawn have prime numbers.