Mathematics Past Questions and Answers

What is the probability of having an even number in a single toss of a fair die?

What is the probability that the total sum of seven would appear in toss of a fair die?

A die is rolled 200 times the outcomes obtained are shown in the table below.
Find the probability of obtaining 2.

Number	1	2	3	4	5	6
No of times	25	30	45	28	40	32

A die rolled 200 times. The outcome obtained are shown in the table above.
What is the probability of obtaining a number less than 3 ?

(a) Simplify, without using Mathematical tables: \(\log_{10} (\frac{30}{16}) - 2 \log_{10} (\frac{5}{9}) + \log_{10} (\frac{400}{243})\)
(b) Without using Mathematical tables, calculate \(\sqrt{\frac{P}{Q}}\) where \(P = 3.6 \times 10^{-3}\) and \(Q = 2.25 \times 10^{6}\), leaving your answer in standard form.