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# Bola choose at random a number between 1 and 300. What is the probability that t...

### Question

Bola choose at random a number between 1 and 300. What is the probability that the number is divisible by 4?

### Options

A) $$\frac{1}{4}$$

B) $$\frac{4}{4}$$

C) $$\frac{6}{4}$$

D) $$\frac{7}{4}$$

### Explanation:

Numbers divisible by 4 between 1 and 300 include 4, 8, 12, 16, 20 e.t.c. To get the number of figures divisible by 4, We solve by method of A.P
Let x represent numbers divisible by 4, nth term = a + (n - 1)d
a = 4, d = 4
Last term = 4 + (n - 1)4
288 = 4 + 4n - n
= $$\frac{288}{4}$$
= 72
rn(Note: 288 is the last Number divisible by 4 between 1 and 300)
Prob. of x = $$\frac{72}{288}$$
= $$\frac{1}{4}$$

## Dicussion (1)

• Numbers divisible by 4 between 1 and 300 include 4, 8, 12, 16, 20 e.t.c. To get the number of figures divisible by 4, We solve by method of A.P
Let x represent numbers divisible by 4, nth term = a + (n - 1)d
a = 4, d = 4
Last term = 4 + (n - 1)4
288 = 4 + 4n - n
= $$\frac{288}{4}$$
= 72
rn(Note: 288 is the last Number divisible by 4 between 1 and 300)
Prob. of x = $$\frac{72}{288}$$
= $$\frac{1}{4}$$