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

Option: a is the correct answer.

The probability of getting a even number is:

a. 0.47

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)=(94)/(200)\\\\\\P(even\ number)=0.47`