Question

A book containing 100 pages numbers from 1 to 100. a range is opened at random and is selected. Find the probability the opened page is multiple of 6 or 10

Answer 1

Total number of pages: $N=100$

Favorable pages:

$$6,10,12,18,20,24,30,36,40,42,48,50,$$

$$54,60,66,70,72,78,80,84, 90, 96, 100$$

Total number of favorable pages: $n=23$

$$\dfrac{100}{6}=16+\dfrac{4}{3}$$

$$30, 60, 90$$

$$n=16+10-3=23$$

$$p=\dfrac{n}{N}=\dfrac{23}{100}=0.23$$