If events are independents and P(A)=13,P(B)=13andP(C)=14 then P(A'∩B'∩C')is equal to
Step 1 : Finding the Probabilities of P'(A),P'(B),P'(C)
Given that Events are independent and P(A)=13,P(B)=13andP(C)=14
P(A')=1-(13)=23P(B')=1-(13)=23P(C')=1-(14)=34
As A,B,andCare independent events.
Step 2 : Finding the required probability
⇒P(A'∩B'∩C')=P(A').P(B')P(C')⇒P(A'∩B'∩C')=(23).(23).(34)⇒P(A'∩B'∩C')=1236=13
Hence, the value of P(A'∩B'∩C') is 13.
Determine whether the following numbers are in proportion or not:
13,14,16,17