Question

1. Consider four events: A, B, C and D. Suppose B and C are independent, A N B = 4, and D = C. It is given that PC) = 1/2, PB

How to calculate this question, could you please draw a venn diagram to help me comprehend? Thanks!

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Answer #1

PBID = 1/6 P[BC]=1/6 =P[B] - P[B C] = 1/6 Since B C are independent hence, P[ B Therefore, P[B] – P[B]P[C] = C] = P[B] * PC =

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P[C[4] => PLANC] 1 P[A] = = + P[ANC] - * P[4]

PICNĀNE) P[C] - P[CN A] – Picn [Since (ANB) = 0 ] + PļC) – 5P14) – PIC|P|B) = } - (2214+ 3) = 1 2 4 2 =P[A] = 3 - 15 = 5

сув ДА(ANB) = 0

P[DNAN B] =P[D] - P[DO A] – PIDI B] = 2 - plēNA] - = = = - (P[A] – P(ANC) - 1 لا انا تاني تاني ما |ال

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