A coin is tossed

It is given that the coin is tossed thrice, so the sample space will be,

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

For independent event, P(A)*P(B)=P(AB)

i. A=the first throw results in head, B=the last throw results in tail

A={HHH,HHT,HTH,HTT}

B={HHT,HTT,THT,TTT}

AB={HHT,HTT}

Therefore A and B are independent events.

ii. A=the number of heads is odd, B=the number of tails is odd

A={HTT,THT,TTH}

B={HTH,THH,HHT}

AB={}=Ø

A and B are not independent

iii. A=the number of heads is two, B=the last throw results in head

A={HHT,HTH,THT}

B={HHH,HTH,THH,TTH}

AB={HTH}

Therefore A and B are not independent events.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses
RELATED QUESTIONS :

Coloured balls arMathematics - Board Papers

If A and B are twMathematics - Board Papers

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

State True or FalMathematics - Exemplar

Prove that if E aMathematics - Board Papers

State True or FalMathematics - Exemplar