Question

Three fair coins are tossed simultaneously. We define the events

A: get at least two heads

B: get two tails

C: get at most two heads

i)         Write down the sample space S.

ii)        Calculate P(A), P(B), P(C).   

iii)       Calculate P(A ∩ B), P(A ∩ C), P(B ∩ C).                           

iv)       Calculate P(A Ս B), P(A Ս C), P(B Ս C).               

v)        Which of the following pairs of events are independent and why?

A and B

A and C

vi)       Which of the following pairs of events are mutually exclusive and why?

A and B

A and C

B and C

Answer 1

Complete solution is given in attached images:

Thank You.