Question

A six-sided die of unknown bias is rolled 20 times, and the number 3 comes up 6 times. In the next three rounds (the die is rolled 20 times in each round), the number 3 comes up 6 times, 5 times, and 7 times.
The experimental probability of rolling a 3 is __%
which is approximately ___% more than its theoretical probability. (Round off your answers to the nearest integer.)

Answer 1

so for the first 20 trials, 3 came up 6 times. what is the percentage there

Answer 2

Im not exactly sure how to find the percentage of that

Answer 3

i think we should do the total number of times 3 appears , and divide that by the total number of trials

Answer 4

so 24/20?

Answer 5

how many times does 3 appear total , in all the trials

Answer 6

24

Answer 7

correct

Answer 8

and how many times did you roll the die in all

Answer 9

80

Answer 10

so the experimental prob. is
# favorable / # total

Answer 11

24 divided by 80?

Answer 12

that will be a decimal, and how do we change a decimal to percent

Answer 13

would it be 30 %?

Answer 14

correct

Answer 15

so thats your experimental probability, what about theoretical probability

Answer 16

When we do theoretical probability, we can assume each possible event is equally likely.

Answer 17

what does that mean

Answer 18

when you throw a die, even before you throw it, you know there are 6 possibilities

{ 1, 2, 3, 4, 5, 6 }

Answer 19

the chances of getting a 1 is the same as the chances of getting a 2 , etc

Answer 20

there are 6 possibilities, how many ways can 3 occur?

Answer 21

6?

Answer 22

I think?

Answer 23

1 way