Answer:
0.9697
Step-by-step explanation:
given that there is a fair coin and an unfair coin.
(both sides tails)
Let B = all tails 5 times
A1- fair coin
A2 - unfair coin
[tex]P(B/A1) = 0.5^5P(B/A2) = 1[/tex]
P(A1) = 0.5 and P(A2) =0.5 (since each coin is equally likely to be selected)
Required probability
= Prob (unfair coin/all tails) =P(A2/B)
= [tex]\frac{P(A2B)}{P(A1B)+P(A2B)} \\=\frac{0.5(1}{0.5(0.5^5+1)} \\=0.9697[/tex]
