There is a fair coin (one side heads, one side tails) and an unfair coin (both sides tails). you pick one at random, flip it 5 times, and observe that it comes up as tails all five times. what is the chance that you are flipping the unfair coin?

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

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)

=

10a^3+277a^2-132a-792

step-by-step explanation:

(2a+11)(5a-12)(foil)

=10a^2-24a+55a-132 =10a^2+31a-132

(10a^2+31a-132)(a+6)

=10a^3+60a^2+31a^2+186a^2-132a-792 =10a^3+277a^2-132a-792

i hope this is what you are looking for : )