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Title: Probability
Description: It is some Probability tasks with step by step solutions
Description: It is some Probability tasks with step by step solutions
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Rapport
1
...
Three
marbles are drawn from this box
randomly, without replacement
...
36 = 36%
(b) of getting more red than blue marbles
...
03 = 3%
Page 2
2
...
32,0
...
71 and
0
...
Compute
¯ ∪ (B ∩ C)
¯ ∪ (C ∩ D)
¯ ∪ (D ∩ A)]
¯
(a) Pr[(A ∩ B)
¯ ∪ (B ∩ C)
¯ = (A ∪ C)
¯ ∩ (B ∪ B)
¯ = (A ∪ C)
¯
We have : (A ∩ B)
¯ ∪ (D ∩ A)
¯ = (C ∪ A)
¯ ∩ (D ∪ D)
¯ = (C ∪ A)
¯
and : (C ∩ D)
So :
¯ ∪ (B ∩ C)
¯ ∪ (C ∩ D)
¯ ∪ (D ∩ A)]
¯ = Pr[(A ∪ C)
¯ ∪ (C ∪ A)]
¯ =1
Pr[(A ∩ B)
¯
(b) Pr[(A¯ ∪ B¯ ∪ C) ∩ (C ∪ D)]
3
Title: Probability
Description: It is some Probability tasks with step by step solutions
Description: It is some Probability tasks with step by step solutions