Lawrence decided to test the balance of his favorite six-sided die. to do so, over the course of a month, he wrote down the total number of rolls he made with it at his weekly gaming night, and how many of those rolls showed a result of six. his data may be seen in the table below.

week
1
2
3
4
rolls made
39
21
55
41
results of six
5
3
11
11

find the experimental probability of lawrence’s favorite die rolling a six, expressed as a percentage to two decimal places.
a.
16.67%
b.
18.49%
c.
19.23%
d.
26.83%

select the best answer from the choices provided

a
b
c
d

C. 19.23%

Step-by-step explanation:

We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.

Total times he got 6: 5 + 3 + 11 + 11 = 30

Total times he rolled the die: 39 + 21 + 55 + 41 = 156

The experimental probability is then 30 / 156 = 19.23%

It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small.  If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

a=24; b=12

step-by-step explanation:

a/b=2: 1

a=2b

36/(1+2)=12

b=12

a=24