Question

A pair of dice was rolled many times and the result appears below. Based upon these results, what is the experimental probability of rolling a number less than 10?

Answer 1

Question is incomplete.

The observation are as follows;

Outcome ---- Frequency

2 ---- 3

3 --- 6

4 -- 8

5 --- 11

6 --- 14

7 ---- 16

8 --- 15

9 ---- 12

10 ---- 9

11 ---- 5

12 ---- 1

Answer:

The probability of rolling a number less than 10 is 0.85

Step-by-step explanation:

The probability of rolling a number less than 10 is calculated as follows;

Let x = the observation.

We're asked to solve P(x<10).

This means that we consider only numbers of observation less that 10

P(x<10) = Number of required outcome/Number of possible outcome.

Number of required outcome is summation of all observation less than 10.

This is calculated as follows;

Number of required outcome = 3+6+8+11+14+16+15+12

Number of required outcome = 85.

Number of possible outcome = summation of all observation

Number of possible outcome = 3+6+8+11+14+16+15+12+9+5+1

Number of possible outcome = 100

P(x<10) = 85/100

P(x<10) = 0.85

Hence, the probability of rolling a number less than 10 is 0.85

Answer 2

Since I can't find the result of the pair of dice that were rolled in the question, I constructed my own result and worked with it. It involves the same steps.

Answer:

The experimental probability of rolling a number less than ten is 25/34

Step-by-step explanation:

Events | frequencies

--------------|----------------------

2 ------------- 4

3 --------------4

4---------------2

5---------------3

6---------------5

7--------------- 1

8---------------2

9---------------4

10---------------5

11----------------3

12---------------1

In order for us to calculate the experimental probability of rolling a number less than 10, we will need the formula for calculating experimental probability which is:

P(Event) = Number of times an event occurs/Total number of trials.

To calculate the total number of trials we have to add up the frequencies of all the events. That is:

4 + 4 + 2 + 3 + 5 + 1 + 2 + 4 + 5 + 3 + 1 = 34

Now we have to calculate the number of times that the pair of was rolled and the sum was less than 10. This means that we must find the sum of the frequencies of events 2, 3, 4, 5, 6, 7, 8, and 9.

That is:- 4 + 4 + 2 + 3 + 5 +1 + 2 + 4

= 25

The experimental probability of rolling a number less than ten (10) is then = 25/34