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A student appears for tests I, II and III. The student is successful if he passes either in tests I and II or tests I and III. The probabilities of the student passing in tests I, II, and III are, respectively, p, q, and 1/2. then p(1+q)= |
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Answer» `1//2` `P[ANNB nnC')uu(AnnB'C')uu(AnnBnnC)]` `=P(AnnBnnC')+P(AnnB'nnC)+P(AnnBnnC)` `=P(A)P(B)P(C')+P(A)P(B')P(C')+P(A)P(B)P(C)` `""[thereforeA,B,C "are independent events"]` `=pq(1-(1)/(2))+p(1-q)1/2+pq1/2` `=pq+1/2p-1/2pq` `=1/2(pq+p)` `therefore1/2(pq+q)=1/2` `orp(1+q)=1` |
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