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A coin is flipped three times. H represents heads, and T represents tails. What is the sample space?

{HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}

{HTT, HHT, TTH, THH, THT, HTH}

{HHH, TTT, HTT, THH, THT}

{HH, TT, HT, TH}

Don't tell me the number i wanted the choices above!

User DMI
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2 Answers

3 votes
That would be the first  choice.
User CoryG
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0 votes

Answer:

The sample space is S={HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}

Explanation:

Given that a coin is flipped three times.

H represents heads, and T represents tails.

we have to find the sample space.

The sample space contains
2^n=2^3=8 elements.

As three times the coin is flipped.

∴ The possible outcomes i.e the sample space is

S={HHH, TTT, HTT, HHT, TTH, THH, THT, HTH}

The first choice is correct option.

User Kzsnyk
by
8.3k points
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