find the probability of independent events. if you toss a coin 6 times what is the probability that the coin will land showing 3

Two events associated with a random experiment are said to be mutually exclusive, if both cannot occur together in the same trial. In the experiment of throwing a die, the events A = {1, 4} and B = {2, 5, 6} are mutually exclusive events. In the same experim..

Events - An event is the outcome or a combination of outcomes of an experiment. In other words, an event is a subset of the sample space. e.g., {a head} in the experiment of tossing a coin is an event. {a sum equal to 6} in the experi..

Each element of S denotes a possible outcome. Each element of S is known as sample point. Any trial results in an outcome and corresponds to one and only one element of the set S. e.g., 1. In the experiment of tossing a coin, S = {H, T} 2. In the experiment of tossin..

There can be several r.v's associated with an experiment. A random variable which can assume only a finite number of values or countably infinite values is called a discrete random variable. e.g., Consider a random experiment of tossing three coins simultaneously. Let X denote ..

Let A be the event that one die shows up 4. Then the outcomes which are favourable to A are (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (1, 4), (2, 4), (3, 4), (5, 4), (6, 4) (a) Let B be the event of getting a 5 in one of ..

S= {1,2,3,4,5,6}] If the event is set of elements less than 2, then E = {1} is a simple event 1) Simple Event: If an event has one element of the sample space then it is called a simple or elementary event..

Random Variables and Probability Distributions - It is often very important to allocate a numerical value to an outcome of a random experiment. For example, consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome HH HT TH TT No..

It is often very important to allocate a numerical value to an outcome of a random experiment. For example, consider an experiment of tossing a coin twice and note the number of heads (x) obtained. Outcome HH HT TH TT No. of heads (x) 2 1 1 0 x is called a random variable, which..

Conclusion - In this chapter we have studied the method of evaluating probabilities of events relating to independent events and conditional events. We have also studied about random variables and their probability distributions, namely bi..

Let us consider the random experiment of throwing a die. Let A be the event of getting an odd number on the die. \ S = {1, 2, 3, 4, 5, 6} and A = {1, 3, 5} Let B = {2, 3, 4, 5, 6}. If, after the die is thrown, we are given the information,..