SOLUTION: Probabilities in Coin Tossing: Three fair coins are tossed. (a) Write out the sample space. -My concern: I'm just wondering if it is supposed to be write as and counted a

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Question 430155: Probabilities in Coin Tossing:
Three fair coins are tossed.
(a) Write out the sample space.
-My concern: I'm just wondering if it is supposed to be write as and counted as (coin 1)=HT, (coin 2)=HT, etc.=6ways OR each one should be as (coins 123)=TTT,(coins 123)=TTH, etc.=8way or 24ways(-not sure which it is meant to be because this stuff always has confused the hell out of me so much, so please help me understand this best as possible)?
Determine the probability of each event.
(b) P(no heads)=
(c) P(exactly on head)=
(d) P(exactly two heads)=
(e) P(three heads)=
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi

Three fair coins are tossed. 

Sample Space will be the possible outcomes of tossing 3 fair coins

     T                       H

  H    T                  H     T

 H T  H  T              H  T   H  T

THH,THT,TTH,       HHH,HHT,HTH,HTT   Eight Possible ways  (2*2*2)



(b) P(no heads)= 1/8

(c) P(exactly one head)= 3/8

(d) P(exactly two heads)= 3/8 

(e) P(three heads)=  1/8 

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