Question

The outcome of 120 throws of a die is as shown below

$$\begin{array}{ccccccc}Outcome& 1& 2& 3& 4& 5& 6\\ Frequency& 15& 20& 22& 18& 24& 21\end{array}$$

(i) What is the probability of getting a multiple of 2?
(ii) What is the probability of not getting a 1 or a 6?
(iii) What is the probability of getting a prime?

Answer 1

Number of times a 2, a 4, or a 6 has been rolled = 20 + 18 + 21 = 59
Probability of rolling a multiple of 2 = 59/120
Number of times a 1 or a 6 has been rolled = 15 + 21 = 36
Probability of getting a 1 or a 6 = 36/120 = 0.3
Probability of not getting a 1 or a 6 = 1 – 0.3 = 0.7.
Number of times a 2 or 3 or 5 was rolled = 20 + 22 + 24 = 66
Probability of rolling a prime = 66/120 = 11/20.