A company has estimated that the probabilities of success for three products introduced in the market are 1/3, 2/5 and 2/3 respectively. Assuming independence, find the probability that
(i) the three products are successful
(ii) none of the products is successful.

Dear student
Consider the following eventsA=First product is successful and B=second  product is successful C=Third  product is successful we haveP(A)=13, P(B)=25 and P(C)=23(i) required probability=P(ABC)=P(A)P(B)P(C) as    A, B ,C are independent events=13×25×23=445(ii) Required prob=P(ABC)  as    A, B, C are independent events=P(A)PBPC=23×35×13=215
Regards

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