Chapter 13.6, Problem 4CYP

To determine

The probability of odd numbers when the die is rolled is to be estimated.

Answer to Problem 4CYP

The probability of odd numbers when the die is rolled is $1$

Explanation of Solution

Given:

The die is rolled.

Calculation:

There are total numbers $\text{6}$ on a die.

So the number of total outcomes becomes $\text{6}$

Even numbers in a die are $\text{2,4,6}$

So the number of evens is $\text{3}$

Odd numbers in a die are $\text{1,3,5}$

So the number of odds is $\text{3}$

Hence there are six equally probable outcomes of which three are not favorable.

The probability that the odds occur against rolling the even numbers can be calculated by formula,

  $\text{p =}\frac{\text{Number of odds}}{\text{Number of evens}}$

Substituting the values in above formula,

  $\begin{array}{l}p=\frac{3}{3}\\ p=1\end{array}$

Conclusion:

Hence, $p=1$