A. Their run plays gain yardage 98% of the time. STORY    In this case, you have to find out the probability that the second test was passed by a student given that he passed the first test already. Note that $C_1$ and $C_2$ form a partition of 7- If Taliban and the Afghan government get together, win. The pass plays gain yardage 18% of the time. You flip a coin 2 times. Define two events as follows: F = the total is five E = an odd total shows on the dice a. Compute P(F) and b. Compute P(F|E). Suppose further that a careful driver has a 0.2 probability of being in an accident in a given year, while for a reckless driver th... A doctor gives a patient a 80% chance of surviving after a heart attack. If you could be an animal which animal would you be? 3. b. In die and coin problems, unless stated otherwise, it is assumed coins and dice are fair PICTURE    If I knew her number, I would call her. This is again similar to the previous problem (please read the explanation there). If the stock makes money, then there is a 43 % chance that among those making money, t... A company is considering producing a new product. round to three decimal places. Therefore, it is a very important chapter. 1) A1 (H) A2 (H) 2) The income distribution is skewed to the right; therefore, the Mean Income must be greate... Out of 450 applicants for a job, 209 are females and 68 are females and have a graduate degree. How can we explain this intuitively? It is estimated that 67 percent of all students take economics, 73 percent of all students take math, and 58 percent of all students take both. Suppose a company buys computer parts from only two suppliers, Alamo Supplies and Southland Computer Services. Thus, intuitively, the conditional probability of the outcome If Amy Hussey spins the chamber again, the probability that she shoots Hussey would be 2/6, or 1/3, since there are two possible bullets that would be in firing position out of the six possible chambers that would be in position. Remember, you’re only cheating yourself if you don’t practise properly now. If B has occurred, what is the probability A has also occurr... What is the difference between P(A|B) and P(B|A)? Get help with your Conditional probability homework. What is the probability that it lands heads up? Consider events A and B. Of course you could read the questions and answer them yourself, but what fun would that be? If you had invited her, she could have gone with us. The probability that a car has a certain factory defect is 8/25. The following table contains data from a study of two airlines that fly to Small Town, USA. The probability of winning project A is 0.4. On the other hand, the probability of being A total of 18 city X compani... At a county fair carnival game, there are 25 balloons on board, of which 10 balloons are yellow, 8 are red and 7 are green. There are two urns. Find the probability that both children are girls, given that at least one of the two is a girl who was born in winter. 2) A2 (H) A1 (H) If P(A|B) = .4 , then a. P(B|A) = .6 b. P(A) ast P(B) = .4 c. P(A) / P(B) = .4 d. None of the alternatives is correct. Of these males, 23.8% were college graduates. A) Yes because P(A | B) = P(A). If a d... A car gets involved in an accident 80% of the time if it is defective. P(s|b) v. P(s an... Basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. If you could live in any period of time when would you live? However, if you just go on calculating the negative probabilities, then you can simply subtract it from 1 to find the positive probability. In how many ways can the letters of the word BANANA be arranged such that the new word does not begin with a B? Suppose that 3% of all adults suffer from diabetes and that 29% of all adults are obese. A math teacher gave her class two tests. Let W be the event that a randomly chosen person works for the city government. 1:1 (approx) Note: Ace is considered to be a number card. Now let us include Christopher in the scene. Put one black rock in one sack and put all the rest in the other one. Suppose that 4 % of all adults suffer from diabetes and that 29 % of all adults are obese. The probability of receiving both grants is 0.11. How would you react if your partner bought you a puppy? In the article below I cover conditional sentences exercises with answers, test the knowledge of your conditional sentences by writing the sentences below on a paper, then check the correct answers in the bottom of the page. Given P(A and B) = 0.34, P(B) = 0.62, P(\frac{B}{A}) = 0.94, what is P(A)? These Conditional Probability Questions can be time taking as well. How Can I Improve My Confidence With English? given p(a) = 0.23, p(b) = 0.29, and p(b|a) = 0.28, are a and b independent or dependent? (b) If P(A | B) = 0.1, compute P(A and B). Express the event space b. 45% of the moviegoers bought popcorn and soda. Under what circumstances P(B|A) is P(B)? Would you prefer to live in the mountains or on the beach? 3. Services, Working Scholars® Bringing Tuition-Free College to the Community. and $L$ be the event that I am late for work. late for work with probability $\frac{1}{2}$. There are five people coming to a "party" on a particular episode of a tv show. Half of the others will have a girl and will have a baby again. An inverse of something is the opposite of it. Assume that a class consists of 45% freshmen, 20% sophomores, 20% juniors and 15% seniors. Explain. The probability that the sale of replacement parts will increase (R) is estimated to be 0.50. In a standard deck of cards, the jack, queen, and king are "face cards." BG$, but these events are not equally likely anymore. A family has two children. we know that the family has at least one girl. So try them only when you have sufficient time to do so. Calculate the following probabilities. Okay, another family-with-two-children problem. two of them are female. So, do not be disappointed if they seem confusing to you. If I (be)_____________________a star, I would help the needy. What P(F|E)? What is the false positive rate? If P(A) = 0.26, P(B) = 0.28, and P(A U B) = 0.49, then find P(A | B). 7. Let$C_1, C_2,\cdots,C_M$be a partition of the sample space$S$, and$A$and$B$be two events. The probability that a patient visits a physical thera... A fair six-sided die is thrown twice. Sciences, Culinary Arts and Personal A bag of marbles contains 3 green, 4 red, and 5 white marbles. It is estimated that 26% of all california adults are college graduates and that 31% of california adults are regular internet users. The probability... A and B are independent events. The data are shown in the table. Of these 57%, 7 out of 10 strongly oppose the casino. In math, there are inverses as well. Compute the probability below if the information given is sufficient to answer the question. A family with two girls is more \frac{1}{3}$, $= \frac{P(L|GG)P(GG)}{P(L|GG)P(GG)+P(L|GB)P(GB)+P(L|BG)P(BG)+P(L|BB)P(BB)}$, $= \frac{(2 \alpha-\alpha^2)\frac{1}{4}}{(2 \alpha-\alpha^2)\frac{1}{4}+ \alpha \frac{1}{4}+ \alpha \frac{1}{4}+0.\frac{1}{4}}$. A fair coin is flipped six times. You need to get a "feel" for them to be a smart and successful person. A test is used to determine whether a person is infected. One of the balls is drawn at random, but when it is put back in the urn, c additional balls of the same color are put with it. traffic with probability $\frac{1}{4}$. Round to three decimal places. ___________If I were rich, I would travel around the world.