Bola choose at random a number between 1 and 300. What is the probability that the number is divisible by 4?
-
A.
(frac{1}{4}) -
B.
(frac{4}{4}) -
C.
(frac{6}{4}) -
D.
(frac{7}{4}) -
E.
(frac{37}{149})
Correct Answer: Option E
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
296 = 4 + 4n – n
= (frac{296}{4})
= 74
rn(Note: 296 is the last Number divisible by 4 between 1 and 300)
Prob. of x = (frac{74}{298})
= (frac{37}{149})