SOLUTION: Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.       Log On


   



Question 204037: Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Explain in your own words, using the definition of probability why: a) the probability of an event that cannot occur is 0; b) the probability of an event that must occur is 1.
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Definition:
P(event) = (# of ways to succeed)/(# of ways to succeed + # of ways to fail)
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a)the probability of an event that cannot occur is 0
If it cannot occur the # of ways to succeed is zero
Then P(event) = 0/(# of ways to fail) = 0
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b) the probability of an event that must occur is 1.
If it must occur the # of ways to fail is zero
Then P(event) = (# of ways to succeed)/(# of ways to succeed) = 1
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Cheers,
Stan H.