Question

Two coins are tossed once. Determine P(A/B) where 

(i) A : tail appears on one coin, B : one coin shows head 

(ii) A : no tail appears, B: no head appears

Answer 1

(i) The possible outcomes when two coins are tossed once. 

S = {HH, HT, TH, TT} 

A = tail appears on one coin = {TH, HT} 

and B = One coin shows head = {HT, TH} 

∴ A ∩ B = {HT, TH} 

∴ n(A ∩ B) = 2 

n(S) = 4 

A and B. Find p (A/B)

A : Son on one end B: Father in middle