# Question

Extend the definition of conditional independence to more than 2 events.

## Answer to relevant Questions

In Laplace’s rule of succession (Example 5e), show that if the first n flips all result in heads, then the conditional probability that the next m flips also result in all heads is (n + 1)/(n + m + 1). Let A,B, and C be events relating to the experiment of rolling a pair of dice. (a) If P(A|C) > P(B|C) and P(A|Cc) > P(B|Cc) either prove that P(A) > P(B) or give a counterexample by defining events A,B, and C for which that ...Two fair dice are rolled. Let X equal the product of the 2 dice. Compute P{X = i} for i = 1, . . . , 36. A person tosses a fair coin until a tail appears for the first time. If the tail appears on the nth flip, the person wins 2n dollars. Let X denote the player’s winnings. Show that E[X] = +∞. This problem is known as the ...A student is getting ready to take an important oral examination and is concerned about the possibility of having an “on” day or an “off” day. He figures that if he has an on day, then each of his examiners will pass ...Post your question

0