# Question

Show that the postulates of probability are satisfied by conditional probabilities. In other words, show that if P(B) ≠ 0, then

(a) P(A| B) ≥ 0;

(b) P(B| B) = 1;

(c) P(A1 ∪ A2 .. ∪ . | B) = P(A1| B) + P(A2| B) + · · · for Any sequence of mutually exclusive events A1, A2, ∪ . ..

(a) P(A| B) ≥ 0;

(b) P(B| B) = 1;

(c) P(A1 ∪ A2 .. ∪ . | B) = P(A1| B) + P(A2| B) + · · · for Any sequence of mutually exclusive events A1, A2, ∪ . ..

## Answer to relevant Questions

Show by means of numerical examples that P(B| A) + P(B| A') (a) May be equal to 1; (b) Need not be equal to 1. Show that if events A And B are dependent, then events A And B' are dependent. Suppose that a die has n sides numbered i = 1, 2,···, n. Assume that the probability of it coming up on the side numbered i is the same for each value of i. The die is rolled n times (assume independence) And a “ ...An electronic game contains three components arranged in the series– parallel circuit shown in Figure 2.12. At Any given time, each component may or may not be operative, And the game will operate only if there is a ...Among 120 visitors to Disneyland, 74 stayed for at least 3 hours, 86 spent at least $ 20, 64 went on the Matterhorn ride, 60 stayed for at least 3 hours And spent at least $ 20, 52 stayed for at least 3 hours And went on the ...Post your question

0