Asked Feb 26, 2020

the first outcome is one of X and Y the second outcome is one of A and B if the first outcome is X, and one of A, B, and C if the first outcome is Y. 


(1) Pr[A]=

(2) Pr[X|A]=Pr[X|A]= 

(3) Pr[Y|B]=

(4) Pr[B|Y]=



Expert Answer

Step 1

Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and specify the other subparts (up to 3) you’d like answered.

1) The first outcome can occur in 2 ways, X or Y.

Probability homework question answer, step 1, image 1

Step 2

2) Use Bay's theorem:

Probability homework question answer, step 2, image 1

Answer: 0.5


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