Question

Which of the following statements is/are correct?

• A. The range of probability of an event is $0<P\left(E\right)<1$
• B. The range of probability of an event is $0\le P\left(E\right)<2$
• C. The range of probability of an event is $0<P\left(E\right)\le 1$
• D. The range of probability of an event is $0\le P\left(E\right)\le 1$

Answer 1

The correct option is D

The range of probability of an event is $0\le P\left(E\right)\le 1$

For an impossible event the probability is 0 and for a sure event, the probability is 1. So, the probability of an event lies between 0 and 1 (including both).

$\Rightarrow$ $0\le P\left(E\right)\le 1$