Question

The probability of an event is
A. Always more than 1
B. Always less than 1
C. Always equal to 1
D. Always negative

Answer 1

Hint: Think of an event and then formulate your answer by testing the cases for that event. Think of the maximum and minimum chances of any event to occur. Test this for all the diverse events possible.

Complete step by step answer:
When we perform an experiment,there can be many possibilities of outcomes.
The entire set of possible outcomes of an experiment is known as sample space of that experiment.
The set of outcomes of an experiment is called a probability event. Probability event is the subset of the sample space of the particular experiment.
The likelihood of occurrence of an event is known as probability. In simpler words, it is the chances of that particular outcome when the experiment is performed.
Probability= Number of favourable outcomes/total number of outcomes
We express probability usually in terms of fractions or decimals.
The probability of any event to occur irrespective of the experiment lies between 0 and 1,both inclusive.
The probability of an event is 0 when there are absolutely no chances of that event to occur. Such an event is called an impossible event. The empty set is an impossible event.
The probability of an event is 1 when it is certain that the event will occur. Such an event is called a sure event. The sample space of an experiment is a sure event.
For example, if you toss a fair coin , the two possibilities of getting a tail or a head is equally likely and so the probability for a fair coin will be: No. of heads/total number of possible outcomes=
Now if we consider a real coin, we toss it many times to figure out how likely we get a head. The result may vary and not likely be equal.
But for each case, the probability always results in a fraction between 0 and 1.
Probability of an event can never be greater than 1 as the number of favourable outcomes can never be more than the total number of outcomes.
Probability of an event can never be negative because the chances of an event to occur can never be negative.

The closest option to our answer is B. always less than 1

Note: Note that it is very rare for events happening to have the probability of 1. We are not always certain of the event to occur. Probability of an event lies between 0 and 1 for all the events.