# Question: Let A B Express the following probabilities as simply

Let A ⊂ B. Express the following probabilities as simply as possible:

P(A|B), P(A|Bc), P(B|A), P(B|Ac)

P(A|B), P(A|Bc), P(B|A), P(B|Ac)

**View Solution:**## Answer to relevant Questions

As a simplified model for weather forecasting, suppose that the weather (either wet or dry) tomorrow will be the same as the weather today with probability p. Show that the weather is dry on January 1, then Pn, the ...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). (a) An integer N is to be selected at random from {1, 2, . . . , (10)3} in the sense that each integer has the same probability of being selected. What is the probability that N will be divisible by 3? by 5? by 7? by 15? by ...Suppose that two teams play a series of games that ends when one of them has won i games. Suppose that each game played is, independently, won by team A with probability p. Find the expected number of games that are played ...Consider Problem 22 with i = 2. Find the variance of the number of games played, and show that this number is maximized when p = 1/2. Problem 22 Suppose that two teams play a series of games that ends when one of them has ...Post your question