Document Sample

Probability And Statistics When we are solving Conditional Probability Examples ,we deal with two events, say A and B , sometimes these events are so related to each other , that the probability will depend on whether the other event has already occurred. Conditional probability can be defined as the probability of an event given that another event has already occurred. Let’s consider an example for Conditional probability: Consider a card game, suppose a player needs to draw 2 cards of the same suit to win, out of 52 cards there can be 13 cards in each suit. If the first player draws a heart, and the player wishes to draw a second heart. If one heart has already been chosen, then we only have 12 hearts remaining out of 51 cards. So the conditional probability P = 12/51 Know More About Formula for Slope Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information, that the event B has occurred, then the probability of event A will no more be 1/2, because in this case, the favourable cases are two and the total number of possible outcomes will be five and not six. The probability of event A, with the condition that event B has happened will 2/5. This conditional probability is denoted as P(A/B). Let us define the concept of conditional probability in a formal manner. Let A and B be any two events associated with a random experiment. The probability of occurrence of event A when the event B has already occurred is called the conditional probability of A when B is given and is denoted as P(A/B). The conditional probability P(A/B) is meaningful So far, we have assumed that the elementary events are equally likely and we have used the corresponding definition of probability. However the same definition of conditional probability can also be used when the elementary events are not equally likely. This will be clear from the following example. Suppose a die is tossed. Let B be the event of getting a perfect square. Learn More On :- What is the Slope Formula The die is so constructed that the event numbers are twice as likely to occur as the odd numbers. Let us find the probability of B given A, where A is the event getting a number greater than 3 while tossing the die. Conditional Probability Examples Example 1 :- A card is drawn from an ordinary deck and we are told that it is red, what is the probability that the card is greater than 2 but less than 9. Solution :- Let A be the event of getting a card greater than 2 but less than 9. B be the event of getting a red card. We have to find the probability of A given that B has occurred. That is, we have to find P (A/B). In a deck of cards, there are 26 red cards and 26 black cards. \ n(B) = 26 Among the red cards, the number of outcomes which are favourable Solving Math Problems To solve Math problems quickly and accurately you need an understanding of various math concepts and solving math problems is not an easy task. TutorVista has a team of expert online Math tutors to help you understand Math problems online and find out how to get solutions for them. Our tutors work with you in learning basic to advanced topics. So we assure you complete learning to solve math problems online. Math Problems made Easy One of the biggest problems in math that students encounter is solving word problems. Word Problems occur in every topic and every grade. Be it fractions, algebra, geometry or calculus, there are always word problems. Get math problem solver online now. Try our free math problems online help demo and interact with our expert math tutors. Students can check out the algebra word problems page. Solving Math problems is not easy! A lot of students have difficulty with Math questions. But, employing some of these techniques will help you to solve Math problems easily : The following steps are generally followed to solve Math problems: Read it carefully - Math problem solving involves reading the problem slowly and carefully, in order to understand what is to be solved. At times, you miss out important information when you give it a quick reading. Break the problem into parts - Before solving a problem, it is important to break it down into parts. Clearly define what you need to do, what all information has been given in the problem and what you already know. Once you have that written down, it gets easier to solve the math problem online. Change it into an equation - It is important to convert what you read in words into an equation you can solve. So basically you need to change the English into numbers! Always cross check - Once you get the answer to your Math problem, you should always go back and recheck. Sometimes, you might miss out on small details and going over the problem and solution again helps. Read More On :- Formula to Find Slope Ask until it gets clear - Math is all about concepts. So, it is important to understand the 'process' of how to solve a Math problem, until you get around to doing it. It is important to ask questions and get clarity on the concept. Once a new topic is introduced, you should write it down, review it and in case of any doubts bring it up with your tutor. This process of continuously revising what you learn will gear you up to solve math problems online. Help with Math Topics TutorVista's expert tutors will make solving problems very easy. Our expert tutors will work with you in a personalized one-on-one environment to help you understand Math questions better, thereby, ensuring that you are able to solve the problems. College Algebra solvers help students to solve the word problems step by step. They teach students how to understand the data given in the statement and solve for the value to be found out. The online Algebra tutors serve as free Algebra Solver who would help students in interpreting the word problems. Let us go over a few important Math equivalents of English for numbers and algebra word problems so as to make the interpretation of word problems easier. Add---- sum, total of, added to, together, increased by Subtract-difference between, minus, less than, fewer than Multiplication-of times, by a factor Division-per, out of, ratio of, percent The above words are suggestive of the operations associated with them. Students can learn more in depth about them on understanding algebra word problems and tke the help of online Algebra Solvers. Thank You TutorVista.com

DOCUMENT INFO

Description:
When we are solving Conditional Probability Examples ,we deal with two events, say A
and B , sometimes these events are so related to each other , that the probability will
depend on whether the other event has already occurred.
Conditional probability can be defined as the probability of an event given that another
event has already occurred.
Let’s consider an example for Conditional probability: Consider a card game, suppose a
player needs to draw 2 cards of the same suit to win, out of 52 cards there can be 13
cards in each suit.
If the first player draws a heart, and the player wishes to draw a second heart. If one
heart has already been chosen, then we only have 12 hearts remaining out of 51 cards.
So the conditional probability P = 12/51

OTHER DOCS BY tutorvistateam

How are you planning on using Docstoc?
BUSINESS
PERSONAL

By registering with docstoc.com you agree to our
privacy policy and
terms of service, and to receive content and offer notifications.

Docstoc is the premier online destination to start and grow small businesses. It hosts the best quality and widest selection of professional documents (over 20 million) and resources including expert videos, articles and productivity tools to make every small business better.

Search or Browse for any specific document or resource you need for your business. Or explore our curated resources for Starting a Business, Growing a Business or for Professional Development.

Feel free to Contact Us with any questions you might have.