Transcription of Sample Space, Events and Probability
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Sample Space, Events and Probability
Sample Space, Events and ProbabilitySample Space and EventsThere are lots of phenomena in nature, like tossing a coin or tossing a die, whose outcomescannot be predicted with certainty in advance, but the set of all the possible outcomes is are what we callrandom phenomenaorrandom experiments. Probability theory is concernedwith such random phenomena or random a random experiment. The set of all the possible outcomes is called thesample spaceof the experiment and is usually denoted byS. Any subsetEof the Sample spaceSis called anevent. Here are some 1 Tossing a coin. The Sample space isS={H, T}.E={H}is an 2 Tossing a die. The Sample space isS={1,2,3,4,5,6}.E={2,4,6}is an event,which can be described in words as the number is even .Example 3 Tossing a coin twice. The Sample space isS={HH, HT, T H, T T}.E={HH, HT}is an event, which can be described in words as the first toss results in a 4 Tossing a die twice.
Sample Space, Events and Probability Sample Space and Events There are lots of phenomena in nature, like tossing a coin or tossing a die, whose outcomes cannot be predicted with certainty in advance, but the set of all the possible outcomes is known.
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