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

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 = \(\frac{72}{288}\)
= \(\frac{1}{4}\)

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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 = \(\frac{72}{288}\)
    = \(\frac{1}{4}\)

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