text: # Probability And Statistics
  
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  ```					                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
  
  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
  
  ```
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  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
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