In: Statistics and Probability
explain why '0.41 cannot be the pribably of some event
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.