The following cannot be the probability of an event?

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Which of the following cannot be the probability of an event?
(a) 0.7
(b) \\ \frac { 2 }{ 3 }
(c) – 1.5
(d) 15%

Solution:

– 1.5 (negative) can not be a probability as a probability is possible 0 to 1. (c)

If the probability of an event is p, then the probability of its complementary event will be
(a) p – 1
(b) p
(c) 1 – p
(d) 1- \frac { 1 }{ p }

Solution:

Complementary of p is 1 – p
Probability of complementary even of p is 1 – p. (c)

Out of one digit prime numbers, one selecting an even number is
(a) \\ \frac { 1 }{ 2 }
(b) \\ \frac { 1 }{ 4 }
(c) \\ \frac { 4 }{ 9 }
(d) \\ \frac { 2 }{ 5 }

Solution:

One digit prime numbers are 2, 3, 5, 7 = 4
Probability of an even prime number (i.e , 2) = \\ \frac { 1 }{ 4 } (b)

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