Question

A die is thrown 325 times. The frequency of the outcomes of the event 1, 2, 3, 4, 5 and 6 are recorded in the following frequency distribution table.

$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 50& 65& 45& 34& 55& 76\end{array}$

Find the probability of the occurrence of an (i) even number (ii) odd number.

• A. 7⁄12, 6⁄13
• B. 3⁄20, 7⁄10
• C. 11⁄20, 13⁄10
• D. 11⁄25, 13⁄10

Answer 1

The correct option is A

7⁄12, 6⁄13

Total no. of outcomes = 325

Frequency of dice getting even number = 65 + 34 + 76 = 175

P (Even Number) $=\frac{175}{325}=\frac{7}{13}$

P (Odd Number)= 1- P (Even Number) $=1-\frac{7}{13}=\frac{6}{13}$