Question

a box contains 125 disc which are numbered 1 to 125 if dice is drawn at random from the box find the probability if base 31 by 135 a number divisible by 4​

Answer 1

the base is between 31 to 135 so the answer should be 23/135

Answer 2

Given:

Total number of disc a box contain = 125

To find, the probability the number is divisible by 4 = ?

Solution:

Total number of possible outcomes = 125

Let E be the event of getting a number is divisible by 4.

The favourable outcomes are:

4, 8, 12, ........, 124

Total number of terms = $\dfrac{124-4}{4} +1$

= $\dfrac{120}{4} +1$

= 30 + 1

= 31

Number of favourable outcomes = 31

∴ Probability, P(E) = $\dfrac{Number of favourable outcomes }{Total number of possible outcomes}$

= $\dfrac{31 }{125}$

Hence, P(E) = $\dfrac{31 }{125}$