probabilities

[donys]

Hi..

 

I have an exercise and i want to know if i solved it correct.Can you help?

 

Three people A,B,C throw a coin (First is A,second comes B and finally C)

The first that will bring head wins and the game stops.

 

The exercise wants:

a)The sample space

b)Determinate the following events in the sample space

i)A={A WINS}

ii)B={B WINS)

iii)(A union B)complement

H:HEAD T:TAIL

a)sample space{H,TH,TTH,TTT}

bi)P(A)={H}=1/2

bii)P(B)={TH}=P(Acomplement intersection B)=1/4

biii)(A union B)complement=Acomplement intersection Bcomplement=

{TTH,TTH}=1/4

 

is it corrent?

[pulkit]

P(A)=4/7

P(B)=2/7

P©=1/7

 

Since the game goes on till someone wins, your sample space is infinite {H,TH,TTH,TTTH,TTTTH,.......}

 

Result is found by summing an infinite GP