A coin is biased so that its chances of landing Head is 2⁄If the coin is flipped 3 times, the probability that the first 2 flips are heads and the 3rd flip is a tail is?
a) 4⁄27
b) 8⁄27
c) 4⁄9
d) 2⁄9
Q.2.
For two events A and B, if P (B) = 0.5 and P (A ∪ B) = 0.then P (A|B) = ?
a) 0.5
b) 0
c) 0.25
d) 1
Q.3.
Husband and wife apply for two vacant spots in a company. If the probability of wife getting selected and husband getting selected are 3/7 and 2/3 respectively, what is the probability that neither of them will be selected?
a) 2⁄7
b) 5⁄7
c) 4⁄21
d) 17⁄21
Q.4.
If P(B⁄A) = p(b), then P(A ∩ B) = ____________
a) p(b)
b) p(a)
c) p(b).p(a)
d) p(a) + p(b)
Q.5.
Two unbiased coins are tossed. What is the probability of getting at most one head?
a) 1⁄2
b) 1⁄3
c) 1⁄6
d) 3⁄4
Q.6.
If A and B are two events, then the probability of exactly one of them occurs is given by ____________
a) P(A ∩ B) + P(A ∩ B)
b) P(A) + P(B) – 2P(A) P(B)
c) P(A) + P(B) – 2P(A) P(B)
d) P(A) + P(B) – P(A ∩ B)
Q.7.
The probability that at least one of the events M and N occur is 0.If M and N have probability of occurring together as 0.then P(M) + P(N) is?
a) 0.4
b) 1.2
c) 0.8
d) Indeterminate
Q.8.
A survey determines that in a locality,go to work by Bike,go by Car, anduse both. The probability that a random person selected uses neither of them is?
a) 0.29
b) 0.37
c) 0.61
d) 0.75
Q.9.
A fair coin is tossed thrice, what is the probability of getting all 3 same outcomes?
a) 3⁄4
b) 1⁄4
c) 1⁄2
d) 1⁄6
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