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

Find the probability of independent events. If you toss a coin 3 times, what is the probability that the coin will land showing heads each time? => 1..

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..

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 ..

In tossing of a coin, there are two exhaustive cases, {H}, {T}. In throwing of a dice, there are 6 exhaustive cases, {1}, {2}, {3}, {4}, {5}, {6}. In throwing of a pair of dice, there are 36 exhaustive cases. Example of an event which is exhaustive..

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 H..

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 ra..

Consider an example. A person was asked to measure the thickness of a coin. He recorded the following readings: (i) 0.2 cm with ruler (ii) 0.23 cm with vernier (iii) 0.231 cm with micrometer The accuracy of thickness of the coin depended on the instrument used for measuring the..

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..

If A and B are mutually exclusive events, then \ If A and B are mutually exclusive events, then A/B and B/A are impossible events. For an illustration, let us consider the random experiment of throwing two coins. \ S = {HH, HT, TH, TT} Let A = {HH,..

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 the dies. Then the o..