In a roll of two tetrahedron dice, each labeled one to four, let X be the sum of the dice Let A X is prime and B 1 X 2 , B 2 3 X 5 , B 3 6 X 7 , and B 4 X 8 Observe that the Bis partition the sample space Illustrate the law of total probability by writing out formula 2 9 and finding the probabiliti...

In a roll of two tetrahedron dice, each labeled one to four, let X be the sum

Question:

In a roll of two tetrahedron dice, each labeled one to four, let X be the sum of the dice. Let A = {X is prime} and B₁ = {X = 2}, B₂ = {3 ≤ X ≤ 5}, B₃ = {6 ≤ X ≤ 7}, and B₄ = {X = 8}. Observe that the Bi’s partition the sample space. Illustrate the law of total probability by writing out formula 2.9 and finding the probabilities for each term in the equation.

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