Question: 2.4.7 Four events A, B, C, and D are such that A and B are disjoint and D is contained in ( A U B

2.4.7 Four events A, B, C, and D are such that A and B are disjoint and D is contained in ( A U B U C)". Moreover, B n C is twice as likely as A n C, while P(AnCc)= P(BnCc)= 0.2,P(D)= P[(AUBUCUD)"=] P(CnACnBC=)

0.1. Find the probability that out of the events A, B, C, D: (i) None will occur. (ii)

Exactly two will not occur. (iii) At most two will occur. (iv) Exactly one will occur.

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