Question

Drag each number to the correct location on the table. Not all numbers will be used.

Jacob performed an experiment with a weighted die, numbered 1 to 6. He rolled the die 125 times and recorded the results. Complete the table below.

24
22
0.176
18
0.232
37
0.048
0.104

Answer 1

Complete Table:

Result of Roll ------ Frequency ------- Experimental Probability

1 --------------------------- 22 ------------------- 0.176

2 --------------------------- 13 ------------------- 0.104

3 --------------------------- 18 ------------------- 0.144

4 --------------------------- 29 ------------------- 0.232

5 --------------------------- 37 ------------------- 0.296

6 --------------------------- 6 ------------------- 0.048

Explanation:

Required: Complete the table

The table is divided into 3:

1. Result of Roll

2. Frequency (F)

3. Experimental Probability (P)

The relationship between (2) and (3) is:

`P = (F)/(N)`

Where

N = Number of Rolls

N = 125

For Roll of Result = 2

Frequency = 13

The probability is calculated as thus:

`P = (13)/(125)`

`P = 0.104`

For Roll of Result = 3

Probability = 0.144

The Frequency is calculated as thus:

`0.144 = (F)/(125)`

`F = 0.144 * 125`

`F = 18`

For Roll of Result = 4

Frequency = 29

The probability is calculated as thus:

`P = (29)/(125)`

`P = 0.232`

For Roll of Result = 5

Probability = 0.296

The Frequency is calculated as thus:

`0.296 = (F)/(125)`

`F = 0.296* 125`

`F = 37`

For Roll of Result = 6

Frequency = 6

The probability is calculated as thus:

`P = (6)/(125)`

`P = 0.048`

For Roll of Result = 1.

To get the frequency; we subtract the sum of frequencies of roll of results 2 to 6 from the total number of rolls.

In other words:

Frequency of 1 = Total Rolls - (Frequency of 2 + Frequency of 3 + Frequency of 4 + Frequency of 5 + Frequency of 6)

Frequency of 1 = 125 - (13 + 18 + 29 + 37 +6)

Frequency of 1 = 125 - 103

Frequency of 1 = 22

The probability is calculated as thus:

`P = (F)/(N)`

`P = (22)/(125)`

`P = 0.176`