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Tuesday, 23 June 2015
Probability
Probability Quiz
for IBPS
1. What is the probability that a
card drawn at random from a pack
of 52 cards is either a king or a
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
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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)
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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 =
2,3,5,7,11,13,17,19,23,29,31,37,41,4
3,47
Therefore n(E)=15
P(E) = 15/50 = 3/10 =0.3
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