Question

A die is thrown once. Find the probability of getting the number $$5$$.

Answer 1

In a throw of a dice,

Possible outcomes $$=\left\{1,2,3,4,5,6\right\}$$

Total number of possible outcomes $$=6$$

Now,

Favorable outcomes = a number $$5=\left\{5\right\}$$

Number of favorable outcomes $$=1$$

Probability is given by,

$$\displaystyle P(A)$$$$=\dfrac{\text{no. of possible outcomes}}{\text{No. of total outcomes}}$$

$$P$$ (a number $$5$$) $$=\dfrac16$$