Answer with Step-by-step explanation:
We are given that two independent tosses of a fair coin.
Sample space={HH,HT,TH,TT}
We have to find that A, B and C are pairwise independent.
According to question
A={HH,HT}
B={HH,TH}
C={TT,HH}
{HH}
={HH}
={HH}
P(E)=
Using the formula
Then, we get
Total number of cases=4
Number of favorable cases to event A=2

Number of favorable cases to event B=2
Number of favorable cases to event C=2


If the two events A and B are independent then








Therefore, A and B are independent

Therefore, B and C are independent

Therefore, A and C are independent.
Hence, A, B and C are pairwise independent.