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Bola choose at random a number between 1 and 300. What is...

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

A.

14

B.

44

C.

64

D.

74

E.

37149

Correct answer is E

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

296 = 4 + 4n - 4

= 2964

= 74
rn(Note: 296 is the last Number divisible by 4 between 1 and 300)

Prob. of x = 74298

= 37149