terrilc Posts: 1, Reputation: 1 New Member #1 Jan 21, 2007, 10:57 AM
Probability Concepts
John and Jane are married. The probability that John watches a certain television show is .4. The probability that Jane watches the show is .5. The probability that John watches the show, given that Jane does is .7.

a. Find the probability that both John and Jane watch the show.
b. Find the probability that Jane watches the show, given that John does.
c. Do John and Jane watch the show independently of each other? Justify your answer.:cool:
 Nosnosna Posts: 434, Reputation: 103 Full Member #2 Jan 21, 2007, 11:40 AM
a. The probability of two events occurring is based on their respective probabilities. The probability of both is smaller than the probability of either, so choose your operation accordingly.
b. Conditional probability tells how often two events are likely to coincide... in this case, John watches the show at the same time as Jane 70% of the time that Jane watches it, so the overall time that they watch it together is 70% of 50%. The conditional probability you have to find is what percentage of John's 40% is spent with both of them watching.
c. With the conditional probabilities, you can see how the two relate overall.

 Question Tools Search this Question Search this Question: Advanced Search

## Check out some similar questions!

Two numbers are selected from the integers 1 to 11 inclusive, repetition being allowed.Find the probability that, (a) Both are prime (b) Both are powers of 2 (c) One is a prime and the other is a power of 2

Accounting Concepts [ 5 Answers ]

Define the concept of matching revenues and expenses.