SOLUTION: A fair coin is flipped four times and the observations recorded. Event A = Observing at least two heads. What is P(A)? Write your answer as a fraction in reduced form.

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Question 1166124: A fair coin is flipped four times and the observations recorded. Event A = Observing at least two heads. What is P(A)?
Write your answer as a fraction in reduced form.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There are exactly 16 different outcomes of flipping a coin four times:
One way to get all four heads, four ways to get 3 heads, six ways to get 2 heads, four ways to get 1 head, and one way to get 0 heads.
     H H H H    4 H, 0 T
     
     H H H T    3 H, 1 T
     H H T H
     H T H H
     T H H H

     H H T T    2 H, 2 T
     H T H T
     H T T H
     T H H T
     T H T H
     T T H H

     T T T H    1 H, 3 T
     T T H T
     T H T T
     H T T T

     T T T T    0 H, 4 T


11 of these 16 outcomes have two or more heads.

John

My calculator said it, I believe it, that settles it


I > Ø