Question

A number cube is rolled 450 times. The number 3 comes up 67 times.

What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.

Ok so I did this if I am right?

67/3 = 22.3
450/3 = 150

22.3/150 = ?
or
22/150 =

This where I get lost. I need a fraction. @whpalmer4 or @Taz_kapadia or @tcarroll010

Answer 1

I need to find out what is the probability of rolling a 3 ? And an experimental probability rolling a 3?

Answer 2

in fractions

Answer 3

The experimental probability is the # of times something occurred over the number of trials:

67/450

Answer 4

The fact that it is the number "3" is not relevant. It could have been any other number as well. Or, better yet, some letter, like "A".

Answer 5

ok so I was just thinking to into it. just divide? it is so awesome to see awesome sheldon hahha he has lots of fans I see.

Answer 6

Sheldon rocks! Kaboom!

Answer 7

hhaha

Answer 8

(Elevator episode)

Answer 9

How do I answer this then?? I need to find out what is the probability of rolling a 3 ? And an experimental probability rolling a 3?

Answer 10

My whole family likes the show. : )

Answer 11

It's just:

67/450

no more than that.

Answer 12

for each?

Answer 13

confused when they say I need to have it in a fraction for each?

Answer 14

exper = 67 theor= 450 right? @tcarroll010

Answer 15

What's the "for each"?

Answer 16

I need to find out what is the probability of rolling a 3 ? And an experimental probability rolling a 3?
exper = 67 theor= 450 right?

Answer 17

Ok, now I understand what you mean by "for each". Hold on.

Answer 18

experimental prob = Fraction?
Theoretical prob = Fraction?

Answer 19

hahah I almost feel like "Sheldon" is helping me.

Answer 20

The real-world scenario is that the die is imperfect, so experimentally, you happened to get an experimental probability of:

67/450

But if the die were perfect, every number (1 through 6) would have an equal chance and in a perfect world it should be:

1/6

Answer 21

1/6 you simplified 67/450?
or ??

Answer 22

No, 67/450 is the experimental probability.

The 1/6 is an "idealized number" derived from what a perfect die would give. A die has 6 sides which should all have an equal chance of coming up. So the perfect die would give :

1/6

Answer 23

You see, that fraction:

67/450

is already in simplest form because 67 is a prime number (only 67 and 1 go into it evenly).

Are you sure that your number "67" is correct in your problem statement?

Answer 24

ok yeah I understood the 67/450 exper. Just was confused on the random, at least thought it was a random fraction 1/6/ But I get it. ! out of 6.

Answer 25

now lets talk lottery numbers! hahahha Thanks @tcarroll010

Answer 26

This is actually a good real-world problem and I'll tell you why. In real-life, I play tournament backgammon, which uses dice. We use precision dice which are expensive where the holes are filled in. If one used "regular" dice, the six comes up more often because it is lighter on top. More holes!

Answer 27

aww interesting. I may start liking probability.

Answer 28

Probability is my favorite branch of math. I almost consider it fun! Sheldon WOULD consider it fun!

Answer 29

yes he would. I am starting to like it. The more I understand. Thank you!!

Answer 30

uw! Have a great day and really good working with you! @Bison

Answer 31

Algebra is my fav then probability then geometry. But probability is moving up there. Thanks! @tcarroll010

Answer 32

:-)