A future Chika is now in University and goes to a semester abroad in France. She befriends 2 people, Charles a nd Emily. There is very little chance that she would rea like that Charles a nd Emily are dating. Consider the probability of her finding out on a particular day that they are da ting is . (And her finding out on each day is independent, since she is oblivious) (a) dating. (If she finds out on the sec ond day, then 2 days were neoded) What is the expec ted mumber of days neoded for her to figure out Charles and Emily are (b) much so that they decide not to talk to ach other. But due to their love, there is a probability that they will beg in talking aga in soon. The probability of them stopping their fight and talking is 0.9 for a day if their fight was s till go ing on. What is the proba bility that they will stop fighting on the 8th,9th, 10th day. (Note that t hey can stop fighting on the first day as well.) Chika, being a na ture of cha os, "accidentally" starts a fight between Charles and Emily so (Co ntinued from part b) There is an event that is going to ha ppen, which Charles and Emily (e) need to work together to make a suce ess. Let the event be on the Day 9 (Day 1 being when they started their fight). Given that they were fighting when Day 5 was over, find the pe obability that they will stop fighting before the day of the event. (That they stop on eit her Day 6,7,8 given their fight hadn't ended by Day 5)
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
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