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13 votes
13 votes
Find the odds against of getting two tails and a head when three fair coins are flipped.

User Aledpardo
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1 Answer

23 votes
23 votes

A fair coin has 2 sides.

Flipping three fair coins means a total of 2^3 = 8 outcomes.

We are interested in getting two tails and a head which can happen in 3 ways.

{HTT, THT, TTH}

Odds in favor means favorable outcomes : unfavorable outcomes

Odds against means unfavorable outcomes : favorable outcomes

For the given case, we have

Favorable outcomes = 3

Unfavorable outcomes = 8 - 3 = 5

The odds against of getting two tails and a head are 5:3

User Eric Walker
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