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

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


   

Question 1122816: An unfair coin is made so that heads is twelve times as likely to come up as tails when the coin is flipped. An experiment consists of flipping this coin just once.
What weight (or probability) does the outcome 'heads' have?

What weight (or probability) does the outcome 'tails' have?

Enter your answer as whole numbers or fractions in lowest terms.
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
There are two equations and two unknowns:
1. P(H) = 12*P(T)
2. P(H) + P(T) = 1

12P(T) + P(T) = 1
13 P(T) = 1

P(T) = +highlight%281%2F13%29+ —> P(H) = +highlight%2812%2F13%29+