spade?

1) 17/52 2) 4/13 3) 3/13 4) 13/52 5) None of these

Solution:(2)

Required probability =3/52 + 13/52 = 16/52 = 4/13

(Note : why 13/52 because there are 13 spades and why 3/52 instead of 4/52 (there are four

kings)because one king is already counted in spades)

2. If three unbiased coins are tossed simultaneously, then the probability of exactly two heads, is

1) 1/8 2) 2/8 3) 3/8 4) 4/8 5) none of the above

Solution: (3).

n(S) = 23 =8

Let E = event of getting exactly two heads

={ (H,H,T), (H,T,H), (T,H,H) }

= n(E) = 3

Therefore Required probability =3/8

3. When two dice are rolled, what is the probability that the sum of the numbers appeared on them is

11?

1) 1/6 2) 1/18 3) 1/9 4) 1 5) none of the above

Solution: (2) .

n(S) =36

n(E) = {(5,6),(6,5)} =2

Therefore P(E) = n(E) / n(S) = 2/36 = 1/18

4. A basket contains three blue and four red balls. If three balls are drawn at random from the basket,

what is the probability that all the three balls are either blue or red?

1) 1 2) 1/7 3) 3/14 4) 3/28 5) None of the above

Solution: (2)

Probability to be a blue = 3 C3 / 7 C3 47

Therefore Required Probability = 3C3 / 7C3 = 4 C3 / 7C3 = 5/35 = 1/7

5. A number is selected at random from the set { 1,2,3,…………………,50}. The probability that it is a

prime, is

1) 0.1 2) 0.2 3) 0.3 4) 0.7 5) None of the above

Solution:(3)

n (S) =50

Prime numbers are = 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47

Therefore n(E)=15

P(E) = 15/50 = 3/10 =0.3

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