1) Imagine you're trying to get into an elite club. However, the only way they let you in is if, during the span of 3 coin flips (call them flip A, flip B, and flip C), you flip one or more heads. --What are the odds you get into the club? (As a percentage)--What is P(getting heads in flip A OR getting heads in flip B OR getting heads in flip C)? (as a percentage)--What are the odds you DON'T get into the club? (As a percentage)--What is P(getting tails in flip A AND tails in flip B AND tails in flip C)?

Question
Asked Nov 19, 2019
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1) Imagine you're trying to get into an elite club. However, the only way they let you in is if, during the span of 3 coin flips (call them flip A, flip B, and flip C), you flip one or more heads. 

--What are the odds you get into the club? (As a percentage)
--What is P(getting heads in flip A OR getting heads in flip B OR getting heads in flip C)? (as a percentage)
--What are the odds you DON'T get into the club? (As a percentage)
--What is P(getting tails in flip A AND tails in flip B AND tails in flip C)?

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Expert Answer

Step 1

I am trying to get into an elite club.

The only one possible way is to getting one or more heads during 3 coin slips.

Sample space of flipping one coin is {H, T}.

Sample space of flipping three coins are

{(H,H,H), (H,T,H),(H,H,T),(H,T,T),(T,H,T),(T,T,H),(T,H,H),(T,T,T)}

 

Step 2

The chance of me to get into the club is at least getting one head in flipping coins. So,

The percentage is 87.5%

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P(getting atleast one he ad) = getting one head ina outcome total outcomes 8 P(getting atleast one head) = 0.875

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Step 3

P (getting heads in flip A OR getting heads in fl...

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P(H in4OR H inB OR Hin C) = n0.of getting heads in cary one clip inthe outcomes total no of outcomes 7 8 P(H inAOR H inB OR Hin C)- 0.875

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