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Suppose #Q# and #R# are independent events. What is #P(Q# and #R#) if #P(Q) = 7/15# and #P(R)=4/7#?

1 Answer
Jun 25, 2016

Answer:

If #Q# and #R# are two independent events,
then #P(Q and R)=P(Q)xxP(R)=4/15# - however there is an issue.

Explanation:

If #Q# and #R# are two independent events, then

#P(Q and R)=P(Q)xxP(R)#

and hence in the given instant

#P(Q and R)=7/15xx4/7=4/15#

However, in the given case it is observed that

#P(Q)+P(R)=7/15+4/7=(7xx7+15xx4)/(15xx7)=109/105#

this is greater than one, meaning thereby that #Q# and #R# are not independent event.