Question

Can $\dfrac{7}{2}$be the probability of an event? Explain.

Answer 1

Hint : Probability can be defined as the state of being probable and the extent to which something is likely to happen in the particular situations or the favourable outcomes. Probability of any given event can be expressed as the ratio of the favourable outcomes with the total number of the outcomes.
Here, we would be using the formula for the probability of event to happen
$P(A) =$ [Number of favourable or possible outcomes] by [Total Number of outcomes].

Complete step-by-step answer :
The probability of any event is defined always having the ranges between zero and one. Probability can never be the negative number or the number greater than one.
Given expression: $\dfrac{7}{2}$
Simplify the above expression finding the division for the above terms.
$\dfrac{7}{2} = 3.5$
Since the probability lies between the zero and one, the above stated probability does not lies do not lie in the range and therefore the probability of an event can never be $\dfrac{7}{2}$

Note : The probability of any event is defined always having the ranges between zero and one. Probability can never be the negative number or the number greater than one. The probability of impossible events is defined as always equal to zero whereas, the probability of the sure event is stated which is always equal to one.