Equally Likely Math Definition

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Equally likely math definition. Equally likely outcomes. Likelihood orchance in mathematics a subjective assessment of possibility that when assigned a numerical value on a scale between impossibility 0 and absolute certainty 1 becomes a probability see probability theory. View our lesson on introduction to probability. As we saw in section 1 2 the axiomatic definition of probability definition 1 2 1 does not tell us how to compute probabilities.

Two or more possible outcomes of a given situation that have the same probability. Sign up for our free newsletter. For example if you throw a die then the probability of getting 1 is 1 6. If on taking into account all the conditions there should be no reason to except any one of the events in preference over the others.

Definition of equally likely the outcomes of an experiment are equally likely to occur when the probability of each outcome is equal. Similarly the probability of getting all the numbers from 2 3 4 5 and 6 one at a time is 1 6. Equally likely outcomes are outcomes that have the same probability of occurring. Each numeral on a die is equally likely to occur when the die is tossed.

Two or more events which have an equally likely chance or equal probability of occurrence are said to be equally likely i e. The outcomes of a sample space are called equally likely if all of them have the same chance of occurring. The outcomes of an experiment are equally likely to occur when the probability of each outcome is equal. Definition of equally likely.

When you roll a fair die you are equally likely to roll a 1 2 3 4 5 or 6. Equally likely events may be elementary or compound events. When you toss a fair coin you are equally likely to get a head or a tail. Thus the numerical assignment of a probability depends on the notion of likelihood.

Equally likely eventsare eventsthat have the same theoretical probability or likelihood of occurring. So in this section we consider the commonly encountered scenario referred to as equally likely outcomes and develop methods for computing probabilities in this special case. Example of equally likely. Example of equally likely.