SOLUTION: if you toss three fair quarters, what is the probability that all will land on tails

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Question 1078846: if you toss three fair quarters, what is the probability that all will land on tails
Answer by jim_thompson5910(35256) About Me  (Show Source):
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H = event of landing on heads
T = event of landing on tails

Saying something like TTT means landing on three tails in a row. Saying P(TTT) is notation to mean "the probability of landing three tails" and P(T) is the probability of landing on tails for any given coin taken individually. Because each toss doesn't affect one another, we know that P(T and T and T) = P(T)*P(T)*P(T) allowing us to say

P(TTT) = P(T and T and T)
P(TTT) = P(T)*P(T)*P(T)
P(TTT) = (1/2)*(1/2)*(1/2)
P(TTT) = 1/8
P(TTT) = 0.125

The probability as a fraction is 1/8
The probability as a decimal is 0.125
The probability as a percentage is 12.5%

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