Question

If a probablistic experiment has two possible outcomes, we know that a. each outcome is equally...

If a probablistic experiment has two possible outcomes, we know that

a. each outcome is equally likely

b. the probability of each outcome is determined by the binomial formula

c. the outcomes are independent

d. the outcomes are mutually exclusive

e. none of the above

Math   Statistics-And-Probability   
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Answer #1

Ans: if the probabilistic experiment has two possible outcomes, we can say that

the outcomes should be mutually exclusive. the correct option is d.

reasons to remove the other options:

the events need not to be equally likely.. take an example of biased coin in which the probability of heads is 0.6

The probability of each outcome cannot be determined by the binomial formul. We need to know the probability of one of the outcome and the probability of others outcome can be calculated by P+ Q = 1

the outcomes shounog be independent otherwise p+q = 1 will not be valid

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