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What is the probability of one of the coins landing on tails and two of them landing on heads

What is the probability of one of the coins landing on tails and two of them landing-example-1
User LihO
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2 Answers

6 votes

Answer:

Step-by-step explanation:

50%

User SamBob
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6 votes

Answer in fraction form = 3/8

Answer in decimal form = 0.375

Answer in percent form = 37.5%

Step-by-step explanation:

Look at the "outcomes" column. We're looking for either THH, HTH, or HHT. This represents getting two heads and a tail. The order doesn't matter. Count out the number of THH, HTH or HHT and you should count out 3 total. The other combos have either all heads or more tails than heads.

We have 3 ways to get what we want (THH, HTH or HHT) out of 8 outcomes overall. So 3/8 = 0.375 = 37.5% is the probability we want.

Side info: Notice how each coin has 2 outcomes (H or T) and having 3 coins has 2^3 = 8 outcomes.

User Joseph Kasule
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