## Solved Problems Conditional Probability

Sep 15, · Solve probability problems in easy steps, with short video. Hundreds of probability and statistics questions solved. Statistics made easy! Solved probability problems and solutions are given here for a concept with clear understanding. Students can get a fair idea on the probability questions which are provided with the detailed step-by-step answers to every question. solution the possible out come of rolling die is =6 here in this case since it is rolled 3 our sample space is 6×6×6= we have asked to solve the probability of sum which will be atleast 5 this means 5 and more is possible. so that we have to search the possibilities of less than five to easy our work this will be like[][][] = 3 out comes onlywso p(s`)=3/ when p(s`) is Author: MBA Crystal Ball.

## Probability Questions with Solutions

The basic understanding of this concept is very essential to understand different types of probability problems given in examination. The concept is somewhat different and tedious to understand because the entire chapter based on an assumption of how many chances of a particular event may be happened or occurred in experiment or selection based on some parameters related that experiment or selection.

Frequent practice of solved examples of probability questions also very helpful for candidates. Here in this section explained basics and solved examples of different types of concepts related to probability.

This the performing of an action to get result or output from where that result came from uncertain known outcomes in advance. Possible outcomes:. VII Dependent Events: When the two events affect or changes occurrence of their outcomes each other and leads to changing of probability, then the both events are called as dependent events.

Example: When a card chosen randomly from a set of 52 playing cards. Without replacing that, a second card is selected. What is the probability that the first card chosen is a queen and the second card chosen is a jack? VIII Independent Events: It is opposite to above dependent events, **solved problems on probability**, Among two events, the occurring of one event does not affect the occurring and non-occurring of another event.

Explanation : when tossing a **solved problems on probability,** getting head and when rolling a dice getting 5 on a rolling single 6 sided dice are independent events, *solved problems on probability*. Generally, we can say that, if events E1, E2, ………. Example: When a coin is tossed and a single 6 sided dice is rolled. Find the probability of getting the head side of the coin and getting a 3 on the dice? Conditional Probability: Suppose there are two events A and B.

If an event B in relationship to an event A is the probability that event B occurs given that event A which is already has been occurred, *solved problems on probability*. Example: A science teacher has conducted two tests in class. What is *solved problems on probability* percentage of students passed the second test was given that they have already passed the first test? Answer: Here understand the conditional probability because it questioned us to find the probability that the second test was passed given that the first test was passed.

This can be solved by multiplication rule. Example 2: A single dice having six sides with 1 to 6 numbers on its faces rolled. What is the probability of getting chances of numbers either 2 or 5? Example 1: From a standard deck of 52 playing cards, total 5 cards are chosen at random. What is the probability of choosing 5 Aces A? Example 2: From a standard deck of 52 playing cards, one card is chosen at random.

Answer: We know there are 4 kings in a standard deck and 13 club cards. Example 1: A bag contains 1 red, 3 green, 2 blue *solved problems on probability* 4 yellow balls. If a single ball is chosen at random from the bag, what is the probability that it is yellow or green?

Example 2: A boy has 2 bags. He has 3 black and 4 white marbles in one bag and 4 black and 3 white marbles in another bag. Find the probability of getting a black marble? On a test, 4 boys and 5 girls made an A grade. If he hit 10 shots, what is the probability that he hit the target twice? Your email address will not be published.

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Skip to content. For example, by performing event of tossing of a coin which is having two possible outcomes as either Head or Tail. For tossing a coin, the possible outcome may be either head or tail, hence possible outcomes are 2. This is the final and single result of an experiment as an outcome. For example getting a tail on the coin is an event related tossing of the coin. I Certain Event: It means the event of experiment has certain to occur.

S Sample space is a certain event. The probability of the certain event is must be 1. Example: A coach chooses a player at random from a team of 30 boys. What is the probability that the player chosen is a boy?

Answer: In the team, all the students are boys, so coach chosen may be any one in team. The probability of the impossible event will be 0. Find the probability that marble picked is of red colour?

III Equally likely Event: When the probability of happening of each event is same, then it is called as an equally likely event. IV Complement of an Event: Suppose consider an event A and the set of all **solved problems on probability** in the **solved problems on probability** space, that is not present in *solved problems on probability* outcomes of event A.

Example: A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a card that is not a king? Answer: A standard deck of playing cards comprises 4 kings. Example: When a coin tossed either head or tail will appear, **solved problems on probability**. Hence the occurrence of the head or a tail is two mutually exclusive events.

Example: In rolling a dice, *solved problems on probability*, let assume A is to be the probability of getting an even number and B is to be the probability of getting an odd number.

The probability of occurrence of an event A or event B is 1. Note: Events E1, E2, E3,……. Rules Addition Rule: When two events A and B are naturally unique, the probability that A or B will occur is the sum of the probability of each event. Answer: Assume that A be the probability of getting a heart card and B is the probability of getting a queen card. Find the probability that both A and D are selected in the interview?

If E, E2, *solved problems on probability*, E3…. En be n mutually unique events related to an experiment, **solved problems on probability**, then the probability of an event A which occurs with E1 or E2 or E3…. En is given by. I Tossing of Coin concept for obtaining face of Head or Tail:. Here the coin is used for tossing to obtain particular head or tail face of a coin or same face on two or more coins.

Example 1: What is the probability of each outcome of head and tail, when a coin is tossed? Total number of possible outcomes. Example 2 : When a coin tossed twice, find the probability that a head is obtained at least once?

In this concept, questions are asked on rolling of one are more dice to obtain particular number on the face or sum of faces of dice. Here we need to find out the probability of getting an even number and an odd number while rolling dice. Example 1: A single dice having six sides with 1 to 6 numbers on its faces rolled.

What is the probability of getting chances of an even number and getting chances of an odd number? So both odd and even numbers on dice having half of the probability while rolling to obtain them. There are 12 face cards 4 Jacks, 4 Queens, 4 kings. The following two tabs change content below. Bio Latest Posts. Leave a Comment Cancel Reply Your email address will not be published.

### Probability Problems (solutions, examples, videos)

Sep 15, · Solve probability problems in easy steps, with short video. Hundreds of probability and statistics questions solved. Statistics made easy! probability problems, probability, probability examples, how to solve probability word problems, probability based on area, examples with step by step solutions and answers, How to use permutations and combinations to solve probability problems, How to find the probability of of simple events, multiple independent events, a union of two events. To solve problems on this page, you should be familiar with Uniform Probability Probability - By Outcomes Probability - Rule of Sum Probability - Rule of Product Probability - By Complement Probability - Independent Events Conditional Probability.