One of two biased coins A and B is selected and flipped 3 times. Let A be the event that coin A is selected and B be the event that coin B is selected, with probabilities P(A) = 0.2 and p(B) = 0.8.
When coin A is flipped, the probability of heads is 0.9.
When coin B is flipped, the probability of heads is 0.5.
Let HHH be the event that the selected coin comes up heads 3 times. Complete the values X, Y, and Z in
Bayes' Theorem to determine the probability coin B was chosen if all 3 flips come up heads.
p(B|HHH)
Ex: 0.123
282) - 0.8
Ex: 0.123
-0.8 + Ex: 0.125
Y
Z
- 0.2