For #4 and #5 assume P(A) > 0, and P(B) > 0, Circle the phrase that best complet

Question

For #4 and #5 assume P(A) > 0, and P(B) > 0, Circle the phrase that best completes the statement 4. If events A and B are independent then... ...events A and B must be mutually exclusive. ...events A and B must not be mutually exclusive. -..events A and B may be mutually exclusive or may not be mutually exclusive. 5. If events A and B are not mutually exclusive then... ..events A and B must be independent. ...events A and B must be dependent. events A and B may be independent or they may be dependent. 6. Similar to #4 and #5 above, what other associations between (in)dependence and (not) mutually exclusiveness exist?

Explanation / Answer

4) as if A and B are independent P(AnB) =P(A)*P(B) and as P(A) and P(B) are greater than 0 ;

threfore P(AnB) >0

as for mutually exclusive P(AnB) should be equal to 0 ; therefore

correct option is : events A and B must not be mutually exclusive.,

5)

events A and B may be independent or they may dependent,

6)

for two events are dependent then they may or may not be mutually exclusive.

for tewo events if >0 and mutually exclusive are dependent

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