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Mathematics 23 Online
OpenStudy (calculusxy):

Maria is tossing a fair coin. She tosses the coin thirteen times and it lands on heads six times. If Maria tosses the coin the fourteenth time, what is the best prediction of the probability that it will land on heads?

OpenStudy (calculusxy):

@perl @SolomonZelman

OpenStudy (solomonzelman):

well, we already know what happened before, so that doesn't matter. You only have 2 outcomes.

OpenStudy (calculusxy):

It only counts to do 6/13 right? the extra information comes on the fact that it's on the "fourteenth time."

OpenStudy (calculusxy):

So that will be 46% right?

OpenStudy (solomonzelman):

I disagree

OpenStudy (anonymous):

i disagree too

OpenStudy (solomonzelman):

I don't think the previous 13 times matter. It can be either heads or tails. what happened happened, and for 1 event of a coin toss the probability should be (as you know).

OpenStudy (perl):

hint: coins have no memory

OpenStudy (anonymous):

what he said

OpenStudy (solomonzelman):

yes, perl:)

OpenStudy (anonymous):

so the probability should never change (sorry for pooping in out of nowhere)

OpenStudy (anonymous):

The coin tosses are independent events. The probability is 50% no matter the previous outcomes.

OpenStudy (anonymous):

what he said.

OpenStudy (solomonzelman):

yes, for 1 coin toss the probability is same, regardless of what happened before.

OpenStudy (calculusxy):

So what will the expression be, for me to solve?

OpenStudy (solomonzelman):

what is the probability of a coin landing on heads, if you are tossing 1 coin ?

OpenStudy (calculusxy):

1/2

OpenStudy (solomonzelman):

yes

OpenStudy (solomonzelman):

And that is what you are doing. You are tossing 1 coin. The only thing is that they are confusing you by commenting what happened the other 13 times before (as if it makes a difference, when actually it does NOT)

OpenStudy (calculusxy):

So the answer is 1/2?

OpenStudy (solomonzelman):

yup

OpenStudy (calculusxy):

Okay thanks. I need help on a couple of other questions, because i have a test tomorrow.

OpenStudy (calculusxy):

...if you don't mind.

OpenStudy (solomonzelman):

I am i can try...

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