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A sample space consists of 9 elementary events E1, E2, E3, ..., E9 whose probabilities areP(E1) = P(E2) = 0.08, P(E3) = P(E4) = P(E5) = 0.1, P(E6) = P(E7) = 0.2, P(E8) = P(E9) = 0.07Suppose A = {E1, E5, E8}, B = {E2, E5, E8, E9} [NCERT EXEMPLAR](i) Compute P(A), P(B) and P(A ∩ B).(ii) Using the addition law of probability, find P(A ∪ B).(iii) List the composition of the event A ∪ B, and calculate P(A ∪ B) by addting the probabilities of elementary events.(iv) Calculate PB from P(B), also calculate PB directly from the elementary events of B. |
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Answer» A sample space consists of 9 elementary events E1, E2, E3, ..., E9 whose probabilities are P(E1) = P(E2) = 0.08, P(E3) = P(E4) = P(E5) = 0.1, P(E6) = P(E7) = 0.2, P(E8) = P(E9) = 0.07 Suppose A = {E1, E5, E8}, B = {E2, E5, E8, E9} [NCERT EXEMPLAR] (i) Compute P(A), P(B) and P(A ∩ B). (ii) Using the addition law of probability, find P(A ∪ B). (iii) List the composition of the event A ∪ B, and calculate P(A ∪ B) by addting the probabilities of elementary events. (iv) Calculate from P(B), also calculate directly from the elementary events of . |
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