One of two biased coins A and B is selected and flipped 2 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) = 0.1 and p(B) = 0.9. When coin A is flipped, the probability of heads is 0.4. When coin B is flipped, the probability of heads is 0.8. Y, and Z in Let HH be the event that the selected coin comes up heads 2 times. Complete the values Bayes' Theorem to determine the probability coin B was chosen if both come up heads. X Ex: 0.123 · 0.9 p(B|HH) Ex: 0.123 · 0.9 + Ex: 0.123 · 0.1 Y

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One of two biased coins A and B is selected and flipped 2 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) = 0.1 and p(B) = 0.9.
When coin A is flipped, the probability of heads is 0.4.
When coin B is flipped, the probability of heads is 0.8.
Y, and Z in
Let HH be the event that the selected coin comes up heads 2 times. Complete the values
Bayes' Theorem to determine the probability coin B was chosen if both come up heads.
X
Ex: 0.123
· 0.9
p(B|HH)
Ex: 0.123
· 0.9 + Ex: 0.123
· 0.1
Y
Transcribed Image Text:One of two biased coins A and B is selected and flipped 2 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) = 0.1 and p(B) = 0.9. When coin A is flipped, the probability of heads is 0.4. When coin B is flipped, the probability of heads is 0.8. Y, and Z in Let HH be the event that the selected coin comes up heads 2 times. Complete the values Bayes' Theorem to determine the probability coin B was chosen if both come up heads. X Ex: 0.123 · 0.9 p(B|HH) Ex: 0.123 · 0.9 + Ex: 0.123 · 0.1 Y
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