Question

A die is thrown 1000 times with the frequencies for the outcomes 1, 2, 3, 4, 5 and 6 as given in the data below

$$\begin{array}{ccccccc}\text{Outcome}& 1& 2& 3& 4& 5& 6\\ \text{Frequency}& 170& 155& 160& 150& 180& 185\end{array}$$

Find the probability of getting (i) a factor of 6
(ii) an odd number [2 MARKS]

Answer 1

Solution :0.5 for each step

Number of times the die showed 1, 2, 3 or 6 = 170 + 155 + 160 + 185 = 670
Probability of getting a factor of 6 = 670/1000 = 0.67
Number of times the die showed 1, 3 or 5 = 170 + 160 + 180 = 510
Probability of getting an odd number = 510/1000 = 0.51