Question

On one page of a directory, there are 160 telephone numbers. The frequency distribution of the unit place digit is shown below:

Unit place digit	0	1	2	3	4	5	6	7	8	9
Frequency	19	16	18	21	14	11	15	16	13	17

From this page, one number is chosen at random. What is the probability that the units place digit of the chosen number is 6?
(a) $\frac{2}{5}$

(b) $\frac{3}{32}$

(c) $\frac{3}{80}$

(d) $\frac{29}{32}$

Answer 1

(b) $\frac{3}{32}$

Explanation:
Total phone numbers on a page of the directory = 160
Numbers with units digit 6 = 15

Let E be the event that the units digit of selected number is 6.

∴ Required probability = P(E) = $\frac{15}{160}=\frac{3}{32}$

24200 = 0.12