Question

When a dice is rolled, what is the probability of getting a number 2 or 3?

Answer 1

Hint: Probability: Probability is simply how likely something is to be occurred or when we are unsure about the outcomes we talk about the probabilities. Probability is a mathematical representation of a random phenomenon. The sample space S for a probability model is the set of all possible outcomes.

Complete step-by-step answer:
Given,
A dice has six face and have number on every face like 1, 2, 3, 4, 5, 6
When we roll the dice the outcomes will be = {1, 2, 3, 4, 5, 6}
The probability of getting 2 or 3.
There are only one 2 and one 3.
So the total favorable outcomes=2
Total possible outcomes=6
$ \Rightarrow \operatorname{P} = \dfrac{{favourable\; outcomes}}{{total \;outcomes}}$
Let put the value in the above formula.
$ \Rightarrow \operatorname{P} = \dfrac{2}{6}$
$ \Rightarrow \operatorname{P} = \dfrac{1}{3}$
So, the correct answer is “$\dfrac{1}{3}$”.

Note: Probability of any event never be more than 1 because there is no chance of occurring than more chance than happening. There are three types of probability- theoretical, experimental, and axiomatic probability. Probability is widely used in the area of studies, politics, sports, finance.