Question

In: Statistics and Probability

explain why '0.41 cannot be the pribably of some event

explain why '0.41 cannot be the pribably of some event

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Expert Solution

The question may be like this : "Explain why −0.41 cannot be the probability of some event" or "Explain why '0.41 cannot be the probability of some event"

ANSWER: Probability is a measure quantifying the likelihood that events will occur.

suppose that the total number of events in a sample space is n,where n is finite and n(E) of them are favourable to event E. then the probability of event E is, P(E)= n(E)/n

n and n(E) cannot be negative therefore P(E)=> 0

n>= n(E) therefore P(E)<=1

For example is the tossing of a fair coin. Two outcomes ("heads" and "tails") are there.  the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

A probability must lie between zero and one. Probability implies how likely something is to happen, if it is a certain or sure event the probability is 1 and if it is an impossible event the probability is 0, these are the extreme values of probabilities, Probability takes any value (real number) between 0 and 1, but not less than 0 and not more than 1.


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