Question

A dice is rolled 600 times and the occurrence of the outcomes 1, 2, 3, 4, 5 and 6 are given below:
 

Outcome	1	2	3	4	5	6
Frequency	200	30	120	100	50	100

The probability of getting a prime number is

विकल्प

• `1/3`

• `2/3`

• `49/60`

• `39/125`

Answer 1

The total number of trials is 600.

Let A be the event of getting a prime number (2, 3 and5).

The number of times A happens is 30+120+50 = 200 .

Remember the empirical or experimental or observed frequency approach to probability.

If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted by  P (A) and is given by

` P (A) = m/n`

Therefore, we have

` P (A) = 200/600`

          `= 1/3`