Question

A die is rolled 200 times with the following results.

Outcome

1

2

3

4

5

6

Frequency

32

36

44

20

30

38


What is the experimental probability of rolling the given result?


an even number




a.

0.47

c.

0.94

b.

0.28

d.

0.53

Answer 1

Answer:

Option: a is the correct answer.

The probability of getting a even number is:

                a.    0.47

Step-by-step explanation:

The outcome and the frequency of the outcomes are given as follows:

        Outcome        Frequency

            1                          32  

           2                         36

           3                         44

            4                          20  

            5                          30

            6                         38

The experimental probability of getting an even number is calculated as the ratio of the frequency of getting an even number to the total frequency.

i.e. The frequency of getting a even number is: 36+20+38=94

( As the even numbers on a die are : 2,4 and 6

and we add the frequency corresponding to those three outcomes)

and total frequency=200

( Since the die was rolled 200 times)

Hence, the probability is given as:

$P(even\ number)=\dfrac{94}{200}\\\\\\P(even\ number)=0.47$