SOLUTION: An unfair coin is made so that tails is thirteen times as likely to come up as heads when the coin is flipped. An experiment consists of flipping this coin just once. What weigh

Algebra ->  Probability-and-statistics -> SOLUTION: An unfair coin is made so that tails is thirteen times as likely to come up as heads when the coin is flipped. An experiment consists of flipping this coin just once. What weigh      Log On


   



Question 1182487: An unfair coin is made so that tails is thirteen times as likely to come up as heads when the coin is flipped. An experiment consists of flipping this coin just once.
What weight (or probability) does the outcomes 'heads' have? ____
What weight (or probability) does the outcome 'tails' have?
'
Enter answers as whole numbers or fractions in lowest terms.
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My own thoughts on this:
So far I think it would be this p(13,1), and I'm not sure if I'm missing something because that wouldn't be the answer to both. I also think that the first question is 1/13.

Answer by ikleyn(52855) About Me  (Show Source):
You can put this solution on YOUR website!
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An unfair coin is made so that tails is thirteen times as likely to come up as heads when the coin is flipped.
An experiment consists of flipping this coin just once.
(1) What weight (or probability) does the outcomes 'heads' have? ____
(2) What weight (or probability) does the outcome 'tails' have?
'
Enter answers as whole numbers or fractions in lowest terms.
________________________________________________________________________________________
My own thoughts on this:
So far I think it would be this p(13,1), and I'm not sure if I'm missing something because
that wouldn't be the answer to both. I also think that the first question is 1/13.
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(1)  P(head) = 1%2F14.


(2)  P(tail) = 13%2F14.


It is because  


    P(head) = 13*P(tail),     (1)     (given in the problem)

and

    P(head) + P(tail) = 1     (2)     (basic property of disjoint probabilities).

Solved and explained.

You should be happy (!)