- A card is drawn from a well-
shuffled pack of 52 cards. The
probability of its being a spade or a
queen is:
(a) (b)^ (c)^ (d)
- A ticket is drawn at random from
the tickets numbered 1 to 10. The
probability that the ticket has number
which is multiple either of 2 or 3 is:
(a) (b) (c)^ (d)^
- The probability of solving a
problem by three students X, Y and Z is
,
and
respectively. The probability
that the problem will be solved, is:
(a)^ (b)^ (c)^ (d)^
- If A and B are two events such that
P(A B)= ¾, P(A B)= ¼ and P( ̅)=
2/3, then P(B) is equal to:
(a) 1/3 (b) 2/3 (c) 1/9 (d) 2/9 - If for a binomial distribution, the
mean is 4 and variance is 4/3, then the
probability P[X > 5] is equal to:
(a).^ /
(b).^ /
(^)
(c).
/
(d) 4.^ /
36. If X follows binomial distribution
with mean 3 and variance 2, then P(X ≥
8) is equal to:
(a)^ (b)^ (c)^ (d)^
37. The probability that a leap year
selected at random will contain 53
Sundays, is:
(a)^ (b)^ (c)^ (d)^
38. If A and B are two events, such that
P(A B)=^ , P(A B)=^ , P( )=^ ,
where stands for the
complementary event of A, then P(B) is
given by:
(a)^ (b)^ (c)^ (d)
39. If in 6 trials, X is a binomial variate
which follows the relation 9P (X = 4)= P
(X = 2), then what is the probability of
success?
(a)^ (b)^ (c)^ (d)^
40. In a binomial distribution with
mean = 10 and SD= 2; what is the
probability of success?
(a) 0.4 (b) 0.6 (c) 0.2 (d) 0.8
41. A number is chosen at random
among the first 120 natural numbers.
What is the probability of the number
chosen being a multiple of 5 or 15?
(a) 1/5 (b) 1/8 (c) 1/6 (d) 1/15
42. In a field, 20% of the plants are
infected. A random sample of 4 plants
is selected. What is the probability that
at most 3 plants are infected?
(a) 0.9984 (b) 0.064 (c) 0.0016 (d)
0.8
43. A coin is tossed n times. The
probability that the head (H) occurs six
times is equal to the probability that
the head occurs eight times. What is the
value of n?
(a) 7 (b) 14 (c) 16 (d) 19
44. From past experience it is known
that an investor will invest is security A
with a probability of 0.6, will invest in
security B with a probability 0.3 and
will invest in both A and B with a
probability of 0.2. What is the
probability that an investor will invest