Which of the following cannot be the probability of an event?
A. $1.5$
B. $\dfrac{3}{5}$
C. $25\% $
D. $0.3$
Answer
558.9k+ views
Hint: Here, we are asked to find the option that cannot be the probability of an event. We all know that the probability of any event must lie between zero and one. Thus, we need to identify the option that does not lie between zero and one. That is, the required option must be greater than one. Also, the value of a probability is always positive so the probability of an event cannot be negative. Hence, we shall just pick the option that contains a value greater than one.
Complete step-by-step answer:
It is a well-known fact that the probability of any event will occur between $0$ and $1$, both inclusive.
That is, $0 \leqslant P\left( A \right) \leqslant 1$ for any event $A$
Let us get into our solution.
A. The given number is $1.5$
We can note that the given number $1.5$ is greater than one.
Thus, option A is not applicable.
B. The given option contains $\dfrac{3}{5}$
$\dfrac{3}{5} = 0.6 < 1$
Thus, $\dfrac{3}{5}$lies between zero and one.
Hence, $\dfrac{3}{5}$can be a probability of an event.
C. The given option contains $25\% $
$25\% = \dfrac{{25}}{{100}}$
$ \Rightarrow 25\% = 0.25 < 1$
Thus, $25\% $lies between zero and one.
Hence, $25\% $can be a probability of an event.
D. The given number is $0.3$
Thus, $0.3 < 1$ lies between zero and one.
Hence, $0.3$can be a probability of an event.
So, the correct answer is “Option A”.
Note: The probability of any event cannot be less than zero and greater than one and it lies in the interval $0 \leqslant P\left( A \right) \leqslant 1$ for any event $A$. The probability of a sure event is $1$ where a sure event occurs always whenever an experiment is performed. An example of a sure event is rolling dice to get a score of less than five.
Complete step-by-step answer:
It is a well-known fact that the probability of any event will occur between $0$ and $1$, both inclusive.
That is, $0 \leqslant P\left( A \right) \leqslant 1$ for any event $A$
Let us get into our solution.
A. The given number is $1.5$
We can note that the given number $1.5$ is greater than one.
Thus, option A is not applicable.
B. The given option contains $\dfrac{3}{5}$
$\dfrac{3}{5} = 0.6 < 1$
Thus, $\dfrac{3}{5}$lies between zero and one.
Hence, $\dfrac{3}{5}$can be a probability of an event.
C. The given option contains $25\% $
$25\% = \dfrac{{25}}{{100}}$
$ \Rightarrow 25\% = 0.25 < 1$
Thus, $25\% $lies between zero and one.
Hence, $25\% $can be a probability of an event.
D. The given number is $0.3$
Thus, $0.3 < 1$ lies between zero and one.
Hence, $0.3$can be a probability of an event.
So, the correct answer is “Option A”.
Note: The probability of any event cannot be less than zero and greater than one and it lies in the interval $0 \leqslant P\left( A \right) \leqslant 1$ for any event $A$. The probability of a sure event is $1$ where a sure event occurs always whenever an experiment is performed. An example of a sure event is rolling dice to get a score of less than five.
Recently Updated Pages
What is BLO What is the full form of BLO class 8 social science CBSE

Explain the Treaty of Vienna of 1815 class 10 social science CBSE

10 examples of friction in our daily life

Draw a diagram of nephron and explain its structur class 11 biology CBSE

Write structures of the following compounds i 2 Chloro3methylpentane class 11 chemistry CBSE

A Paragraph on Pollution in about 100-150 Words

Trending doubts
Draw a labelled sketch of the human eye class 12 physics CBSE

Which are the Top 10 Largest Countries of the World?

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Draw ray diagrams each showing i myopic eye and ii class 12 physics CBSE

Which is the correct genotypic ratio of mendel dihybrid class 12 biology CBSE

What is the Full Form of PVC, PET, HDPE, LDPE, PP and PS ?

