Question

HELP PLEASE!!!
A special 8 sided die is marked with the numbers 1-8. If rolled 20 times with the outcomes 3 4 5 2 7 1 3 7 2 6 2 1 7 3 6 1 8 3 5 6
The experimental probability of rolling a prime number is ?? % which is ???% more then the theoretical probability.

Answer 1

so there are 12 prime numbers yes??

Answer 2

12/20=60%

Answer 3

so would it be 60% more then the theoretical probability also???

Answer 4

@Coolsector can you correct this please???

Answer 5

1 isn't a prime number

Answer 6

so it would be 9/20 = 45%
so its The experimental probability of rolling a prime number is 45% which is 45% more then the theoretical probability.

Answer 7

Well, 2 is a prime number, but I had a feeling you counted one.

Answer 8

So your initial 12 primes is correct, because of 2.

Answer 9

im not sure how to find theoretical probability or if it is the same. I need to divide by outcomes?

Answer 10

Red numbers are prime: \(\color\red{3} 4 \color\red{5} \color\red{2} \color\red{7} 1 \color\red{3} \color\red{7} \color\red{2} 6 \color\red{2} 1 \color\red{7} \color\red{3} 6 1 8 \color\red{3} \color\red{5} 6\)

Theoretical means, how many chances are there to get a prime available on the die

Answer 11

So how many sides are there on the die?

Answer 12

How many choices from 1-8 are prime?

Answer 13

there are eight sides and 12 prime numbers

Answer 14

8/12

Answer 15

How can you have 12 primes if you only have 8 to choose from?

Answer 16

20 rolls

Answer 17

ah, but you need the probability in general for the die. So the question is, how many primes are ON the die.

Answer 18

2, 3, 5, 7 there are 4 prime numbers on the die.

Answer 19

4/20=20% Im getting confused now

Answer 20

@mathmate can u help please?

Answer 21

To answer questions in math, you need to know exactly what each word means.
Do you know what is
probability
theoretical probability
experimental probability
?

Answer 22

If you are not sure, read up the following article (or any other one, or your textbook) before continuing.

http://www.onlinemathlearning.com/theoretical-probability.html

Answer 23

thats what I think Im confused at lol thanks for the link I thought it meant how many chance to get a prime number and that would be 20 and then the odds of getting a prime number.

Answer 24

So can you figure out what is the theoretical and experimental probabilities for this particular experiment?

Answer 25

what is the event?

Answer 26

The event in this experiment is a particular outcome.
For example, there are 8 possible outcomes in this experiment.

Answer 27

so 8=favorable outcomes/total outcomes 8=12/20

Answer 28

What kind of probability is that?

Answer 29

Sorry, that's not right.
You had 12 favourable outcomes (prime) out of 20 trials, hadn't you?

Answer 30

yes

Answer 31

Now, we say that the ____________ probability is 12/20 from the preceding experiment.
Can you fill in the blank?

Answer 32

60% probability

Answer 33

8

Answer 34

im sorry

Answer 35

The blank is not meant to be a number, it is meant to describe the type of probability.

Answer 36

...either theoretical or experimental

Answer 37

there are 4 probabilities

Answer 38

I don't think we are tuned in on the same subject.
I am trying to help you understand the difference between theoretical and experimental probabilities, which is the purpose of this question.
One good fact to remember is:
- experimental probabilities vary with the outcomes of the experiment, and its value can vary from one experiment to another.
- theoretical probability is calculated from known facts, so does not require doing an experiment, so its value is constant.

Answer 39

so theortical is 8/20 and experimental is 12/20

Answer 40

sorry theoritiacal is 4/20

Answer 41

experimental is correct, there are 12 favourable outcomes out of 20 trials, so 12/20.
For theoretical, there are 4 favourable outcomes out of .....?

Answer 42

4/8

Answer 43

exactly! Now can you finish the problem?

Answer 44

"The experimental probability of rolling a prime number is ?? % which is ???% more then the theoretical probability."

Answer 45

experimental is 60% and the theoretical is 50% .

Answer 46

Exactly, so the difference=?

Answer 47

no no thats wrong do i need to divide?

Answer 48

10%

Answer 49

You may be right, but I think the question is ambiguous.

Answer 50

I go with 10%, which is my interpretation of the question.

Answer 51

The experimental probability of rolling a prime number is 60 % which is 10% more then the theoretical probability."

Answer 52

Thank you so much for walking me through this. I hope I can remember it.

Answer 53

The question could have been interpreted as (60-50)/50=20%. I am not in favour of this interpretation.

Answer 54

I think yours is correct. i have to be careful of the wording I know that much :P

Answer 55

Good work, well-done!

Answer 56

:)