Question

A die is thrown $400$ times, the frequency of the outcomes of the events are given as under.

outcome	$1$	$2$	$3$	$4$	$5$	$6$
Frequency	$70$	$65$	$60$	$75$	$63$	$67$

Find the probability of occurrence of an odd number.

• A. The probability of occurrence of odd number$=\frac{5}{7}$
• B. The probability of occurrence of odd number$=\frac{9}{2}$
• C. The probability of occurrence of odd number$=\frac{193}{400}$
• D. The probability of occurrence of odd number$=\frac{200}{299}$

Answer 1

Answer: (C)

The probability of occurrence of odd number$=\frac{193}{400}$

Sum of frequencies $=400$
Odd numbers are $1,3,5$
Therefore, frequency of all odd numbers $=70+60+63=193$
$P\left(\text{event}\right)=\frac{\text{Frequency of occurring of event}}{\text{The total number of trials}}$
Therefore , probability of occurrence of odd number$=\frac{193}{400}$