When a biased coin is tossed, heads is three times as likely to come up as tails

Question

When a biased coin is tossed, heads is three times as likely to come up as tails.

Rearrange the following procedure in the correct order to find the probability that should be assigned to the outcome of heads and tails?

When a biased coin is tossed, heads is three times as likely to come up as tails. Rearrange the following procedure in the correct order to find the probability that should be assigned to the outcome of heads and tails? p(T) = 1/4 and p(H) = 3/4 Since heads and tails are the only two outcomes p(H) + p(T) = 1. p(H) = 3p(T) 3p(T) + p(T) = 1 4p(T) = 1

Explanation / Answer

The correct order is:

Since heads is three times as likely to come up as tails so

P(H) = 3P(T)

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Since there are only two outcomes so

P(H) + P(T) =1

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3P(T)+P(T) = 1

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4P(T) =1

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P(T) = 1/4

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P(H) = 1-P(T) = 3/4

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