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?

Answer 1

The theoretical probability of the event a numbers is P(1),P(2),P(3),P(4),P(5),P(6) is.16,.18,.22,.1,.15,.19 respectively solved below.

Step-by-step explanation:

Given : A die is rolled 200 times with the following results.

Outcome          1            2         3           4           5           6

Frequency       32        36       44         20        30         38

Event - P(1),P(2),P(3),P(4),P(5),P(6),

To find : What is the theoretical probability of the given event?

Solution : .

Probability is defined as division of favorable outcome by total number of outcome.

Therefore, the theoretical probability of the event a numbers are as follow:

P(1)=$\frac{32}{200}$ =.16

P(2)=$\frac{36}{200}$=.18

P(3)=$\frac{44}{200}$=.22

P(4)=$\frac{20}{200}$=.10

P(5)=$\frac{30}{200}$=.15

P(6)= $\frac{38}{200}$=.19

Therefore, the theoretical probability of the event a number for given is above.