**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) \(\frac{7}{4}\)

The correct answer is A.

### 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 = \(\frac{72}{288}\)

= \(\frac{1}{4}\)

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 = \(\frac{72}{288}\)

= \(\frac{1}{4}\)

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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 = \(\frac{72}{288}\)

= \(\frac{1}{4}\)