1. If P(A) = 0.7, P(A or B) = 0.9, and P(A and B) = 0.6, then find P(B)
2. If A and B are mutually exclusive events with P(A) = 0.2 and P(B) = 0.4, find P(A or B)
1)
P(A or B) = P(A) + P(B) - P(A and B)
0.9 = 0.7 + P(B) - 0.6
0.9 = P(B) + 0.1
P(B) = 0.8
2)
For mutually exclusive events , P(A and B) = 0
P(A or B) = P(A) + P(B) - P(A and B)
= 0.2 + 0.4 + 0
P(A or B) = 0.6
The events A and B are mutually exclusive. If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? O A. 0.5 OBO OC. 0.9 OD. 0.14
1. (15pts) Events A, B and C are such that P(A) = 0.7, P(B) = 0.6, P(C) = 0.5, P(AnB) = 0.4 , P(AnC) = 0.3, P(BnC) = 0.2, P(AnBnC) Find (a) either B or C happens (b) at least one of A, B, C happens; c) exactly one of A, B, or C happens. 0.1.
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(7) The events A and B are mutually exclusive (disjoint). If P(A) = 0.7 and P(B) = 0.2, what is P(A or B)? A) 0.14 B) 0 C) 0.9 D) 0.5 (8) The events A and B are mutually exclusive (disjoint). If P(A) = 0.2 and P(B) = 0.1, what is P(A and B)? A) 0.02 B) 0 C) 0.5 D) 0.3 (9) A probability experiment is conducted in which the sample space of the experiment is S = {1,...
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Given P(A) = 0.6 and P(B) = 0.3 If A and B are mutually exclusive events, compute P(A or B). If P(A and B) = 0.2, compute P(A or B). If A and B are independent events, compute P(A and B). If P(B|A) = .1, compute P(A and B).
1. The events A and B are such that P(A) = 0.4, P(B) = 0.6 and P(A U B) = 0.7. Find P(A' U B'). Show diagrams.
Suppose that A and B are mutually exclusive and complementary events, such that P(A)=0.7 and P(B)=0.3. Consider another event C such that P(C/A)-0.2 and P(C/B)=0.3. What is P(C)?
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