question archive Suppose you have three possible risk scenarios X, Y, and Z

Suppose you have three possible risk scenarios X, Y, and Z

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Suppose you have three possible risk scenarios X, Y, and Z. Your initial assessment found that X is twice as likely as Z, and Y is three times as likely as Z. What is P(X), P(Y), and P(Z)?-

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Answer:

Given that:

X is twice likely than Z

Y is thrice likely than Z

Now; probability and likelihood are equivalent quantities.

Px +Py +Pz = 1

That is ; Total probability = 1

2*Pz + 3*Pz + Pz = 1

Pz = 1/6

Px = 2/6

Py = 3/6