Conditional Probability - Page 4
Questions
- In a certain community, 25% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also know that 28% of all the families own a cat. What is the probability that a randomly selected family owns a cat?
- Tenzin's friends assure him that if he asks Mikala out on a date, there is an 85% chance that she will say yes. If there is a 60% chance that Tenzin will summon the courage to ask Mikala out to the dance next week, what are the odds she will say yes?
- Is there a formula for such a multiple conditional probability?
- Choose 2 cards from a standard 52 card card, in succession and without replacement. What is the probability that the second card is a king given that the first card is a face card?
- Assume 75% of the AP stats students studied for this test. If 40% of those who studied get an A but only 10% of those who did not study get A, what is the probability that someone who gets an A actually studied for the test?
- A die is tossed. What is P(of the number being prime knowing that its even)?
- Two coins are tossed. Given that the first is a head, what is the probability of getting another head?
- One bag contains 4 white balls and 6 black balls. Another bag contains 8 white balls and 2 black balls. A coin is tossed to select a bag, then a ball is randomly selected from that bag. What is the probability that a white ball will be drawn?
- What is the conditional probability that a card drawn at random from a pack of 52 cards is a face card, given that the drawn card is a spade?
- Suppose that P(A) = 0.3 and P(B) = 0.25 and P(A ∩ B) = 0.1. What is P(B | A(complement))?
- When drawing two hearts from a deck without replacement, are the events independent?
- What is the value of #n(AnnB)# if #n (A)= 7, n(B)= 9#, and #n(AuuB)=13#?
- A restaurant offers the possibility of 168 three-course dinners. Each dinner has an appetizer, an entrée, and a dessert. If the number of appetizers decreases from 7 to 5, how many fewer possible three-course dinners can the restaurant offers?
- If #"P"(Q) = 4/7# and #"P"(R) = 1/2#, and Q and R are independent events, then what is #"P"(Q nn R)#?
- We open a 1500 page book to a random page. What is the probability that we open to?
- What is the probability that the last three digits of a randomly selected phone number are all prime?
- Suppose A and B are independent events. If #P(A) = .4# and #P(B) = .1#, what is #P(AnnB)#?
- What is the probability that in three consecutive rolls of two fair dice, a person gets a total of 7, followed by a total of 11, followed by a total of 7?
- Please answer the following question?
- Please solve the question by Bayes theorem?