Question

outcome HH-28 # times tossed
HT -22
TH-34
TT-16

1. experimental probability is 3% greater than the theoretical probabilty?

or

2. The theoretical probability is 3% greater than the experimental probability?

or is it

3. that they are both equal?

@eSpeX

Answer 1

I think equal?

Answer 2

@whpalmer4

Answer 3

Can you show me your work?

Answer 4

I don't know if you remember me? My computer wouldn't let me upload took me 20 minutes. I need new computer : (

Answer 5

Just type it. how do you find the experimental probability, in general?

Answer 6

one time you got it one your Ipad

Answer 7

That is where I need help.

Answer 8

I want to really understand it.

Answer 9

Okay. We're trying to find the probability of tossing HH?

Answer 10

yes

Answer 11

I also have been doing what you said practicing with coins

Answer 12

Okay. So it looks like we did 100 trials, and got the following results:

HH 28 times out of 100
HT 22 times out of 100
TH 34 times out of 100
TT 16 times out of 100

Our experimental probability for each outcome is simply the number of times we got that outcome/number of trials. For TT, for example, P_exp would be 16/100 = 0.16 or 16%.

Answer 13

Clear so far?

Answer 14

looking at it just sec

Answer 15

ohh ok yes yes!

Answer 16

Now, do you know how to find the theoretical probability for each of those combinations?

Answer 17

divide?

Answer 18

Well, wouldn't one expect them all to be equal? Here are the four possible outcomes:

H H
H T
T T
T H

with a truly fair coin, each of those has an equal probability, right?

Answer 19

Yes : ) and that is what I was thinking but wasn't 100%

Answer 20

There's exactly 1 way to flip Heads followed by Heads. There are 4 possible outcomes, so the theoretical probability of Heads followed by Heads is 1/4 or 0.25 or 25%. Similarly the other 3 are each the same.

So, with that in mind, would you like to revisit your earlier answer? :-)

Answer 21

They are equal : )

Answer 22

No.... ;-(

Answer 23

: (

Answer 24

The 4 theoretical probabilities are equal to each other, yes, but the question asks you to compare the theoretical and experimental probabilities of flipping Heads followed by Heads, no?

Answer 25

So the experimental is 3% greater?

Answer 26

Experimental probability for HH was 28%, and theoretical probability was 25%. 28%-25%=3% so experimental probability is 3% greater.

Answer 27

yes ok I'm slowly getting it.

Answer 28

How did you get 25% ? I know dumb question.

Answer 29

1/4 = 0.25, to convert a decimal to a percentage, multiply by 100%, 0.25*100% = 25%

Answer 30

Or are you asking how I figured out that it was 1/4?

Answer 31

ok because there are 4 outcomes shown and HH-28 ok got it

Answer 32

Figuring it out so if I had another problem like it I can see how you solved it.

Answer 33

Right. The 4 possible outcomes are HH HT TH TT, so there is 1/4 chance theoretically of getting HH: 1 of the 4 possible outcomes is HH. Alternatively, you could think of it by multiplying probabilities: 1/2 for the first coin flip to give you a heads result, and 1/2 for the second coin flip to give you a heads result, so 1/2 of the time * 1/2 of the time you get 2 in a row, and 1/2 * 1/2 = 1/4.

Answer 34

I have another question. I will close this first and reopen a new question?

Answer 35

Okay.

Answer 36

Ok I just need to know how to figure it. just sec