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Mid Sem: Question paper
Mid Sem: Question paper

... 2. A spacecraft has 30000 components. The probability of any one component being defective is 10−5 . The mission will be in danger if 6 or more component become defective. Find the probability of such an event. ...
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... The set of all outcomes of an experiment is known as the sample space, and is denoted by S. Some examples are 1. Flipping a coin: S = {h, t}. ...
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... Corollary 1 (Total Probability) If a sample space is the disjoint union of events B 1 , B2 , . . ., then for all events A, X Pr(A) = Pr(A|Bi ) Pr(Bi ). i∈ ...
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... Sometimes instead of actually performing an experiment to find the chances of something happening, we can set up a similar mock experiment called a simulation. Many times we will use a set of random numbers to simulate an experiment. Our graphing calculators can generate these numbers that are equal ...
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Probability

Probability is the measure of the likeliness that an event will occur. Probability is quantified as a number between 0 and 1 (where 0 indicates impossibility and 1 indicates certainty). The higher the probability of an event, the more certain we are that the event will occur. A simple example is the toss of a fair (unbiased) coin. Since the two outcomes are equally probable, the probability of ""heads"" equals the probability of ""tails"", so the probability is 1/2 (or 50%) chance of either ""heads"" or ""tails"".These concepts have been given an axiomatic mathematical formalization in probability theory (see probability axioms), which is used widely in such areas of study as mathematics, statistics, finance, gambling, science (in particular physics), artificial intelligence/machine learning, computer science, game theory, and philosophy to, for example, draw inferences about the expected frequency of events. Probability theory is also used to describe the underlying mechanics and regularities of complex systems.
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