Question

A die rolled 150 times and it outcomes are recorded below :
$\begin{array}{ccccccc}Outcome& 1& 2& 3& 4& 5& 6\\ Frequency& 25& 30& 15& 28& 32& 20\end{array}$
Find probability of getting :
1. An odd number
2. A multiple of 4

Answer 1

(i) No. of times “1” appears = 25
No. of times “3” appears = 15
No. of times “5” appears = 32
No. of times on odd no appears = 25+15+32 = 72
No. of favourable outcomes = 72
P (an odd number) = $\frac{Numberoffavouableoutcomes}{Totalnumberofpossibleoutcomes}$
$=\frac{72}{150}=\frac{12}{25}$
(ii) Number of times “4” appears = 28
Number of favourable outcomes = 28
P (a multiple of 4) = $\frac{Numberoffavouableoutcomes}{Totalnumberofpossibleoutcomes}$
$=\frac{28}{150}=\frac{14}{75}$