Question

Consider the experiment of tossing two coins simultaneously. Define three events a, b, c as follows:

a.The first coin shows head

b.The second coin shows head

c.Only one coin shows head. Discuss the independence of a, b and c

Answer 1

Hey mate
your answer is here

total case = {HH,TT,HT,TH}

a = {HH,HT}
b = {TH,HH}
c = {TH,HT}

we can see that a & b are not independent event
a intersection c = {HT}
p(a intersection b) = 1/4

p(a)×p(b) = 1/2×1/2 = 1/4

so,
a & c are independent event

similarly
b & c are also independent event .

Hope this help you

Thanks