Question

In a throw of a die, what is the probability of getting a number less than $7$
(1) $0$
(2) $1$
(3) $\dfrac{1}{2}$
(4) None of these

Answer 1

Hint: The probability of an event is defined to be the ratio of the number of cases favourable to the event. i.e., the number of outcomes in the subset of the sample space defining the event to be the total number of cases. Probability means possibility. It is a branch of mathematics that deals with the occurrence of random events. The value of probability expressed from zero to one. Probability has been introduced in mathematics to predict how likely events are to happen.

Complete step-by-step answer:
We know a die has six faces. i.e., the faces are $1,2,3,4,5,6$
Therefore the total number of outcomes in a die is \[n(A) = 6\]
We find the probability of getting a number less than $7$ .
We get that total faces $6 < 7$
Therefore the favourable outcome $n(S) = 6$ which is less then $7$
The probability $P(A) = \dfrac{{n(S)}}{{n(A)}}$
Put the value of $n(S)$ and $n(A)$ , we get
$ = \dfrac{6}{6}$
$ = 1$
Option (2) is correct.
So, the correct answer is “Option 2”.

Note: The probability of an event $P(A) = \dfrac{{n(S)}}{{n(A)}}$ , where $n(S)$ is the number of favourable outcomes and $n(A)$ is the number of total outcomes. Probability is widely used in all sectors in daily life like sports, weather reports, blood samples, statistics and many other sites. The probability formula provides the ratio of the number of favourable outcomes to the total number of possible outcomes.