Question

Cards marked with numbers $$13, 14, 15, ....., 60$$ are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card drawn is divisible by $$5$$?

Answer 1

The possible outcomes are $${13,14,15,...…60}$$

Number of possible outcomes $$= 48$$

Let E be the event of getting the number on the card is divisible by $$5$$.

Outcomes favourable to E are $${15,20,25,30,35,40,45,50,55,60}$$

Number of favourable outcomes $$= 10$$

$$P(E)=\dfrac{Number \,of \,favourable\, outcomes}{Number\, of\, possible\, outcomes}$$

$$P(E) = 10/48 = 5/24$$

Hence the probability of getting the number on the card is divisible by $$5$$ is $$5/24$$.