Two events A and B are such that #P(A)=.2, P(B)=.3,# and #P(AuuB)=.4#. What is #P(AnnB)#?

Question

If A and B are independent events with #P(A)=.5 and P(B)=.2#, what is #P(AuuB)#?

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Answer 1 · 2017-01-06T06:42:54

The answer is #P_(AnnB)=0.1#
THe answer is #P_(AuuB)=0.1#

#P_A=0.2#

#P_B=0.3#

#P_(AuuB)=0.4#

#P_(AuuB)=P_A+P_B-P_(AnnB)#

#P_(AnnB)=P_A+P_B-P_(AuuB)#

Therefore,

#P_(AnnB)=0.2+0.3-0.4=0.1#

If the events are independent

#P_(AuuB)=P_A*P_B=0.5*0.2=0.1#