s1 vien diagram Watch

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Datura
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#1
Report Thread starter 14 years ago
#1
Can someone show me how to put this info on a vien diagram

The events A and B are such that P(A) = 2/5, P(B) = 1/2 and P(A/B') = 4/5.

a) Find

i) P(A n B)

ii)P (a u b)

iii) P(a u b)

iv) P(a\b)

Thanks
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jazzyj
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#2
Report 14 years ago
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P(A/B') = P(AnB')/P(B') = 4/5
since P(B') = 1/2, P(AnB') = 2/5

This can now be put onto a venn diagram - events are mutually exclusive because you were told P(A) = 2/5 so none of A intersects with B
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MJ_23
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#3
Report 14 years ago
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(Original post by Bebop)
Can someone show me how to put this info on a vien diagram

The events A and B are such that P(A) = 2/5, P(B) = 1/2 and P(A|B') = 4/5.

a) Find

i) P(A n B)

ii)P (a u b)

iii) P(a u b)

iv) P(a|b)

Thanks
i) Mutually exclusive by proving that P(AnB') = P(A) therefore = 0
ii) 2/5 + 4/5 = 9/10
iv) (since iii) is the same) because P(AnB) = 0 answer = 0

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chats
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#4
Report 14 years ago
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so if they are mutually exclusive and there is no AnB what do you put in that middle bit of the venn diagram? do you put zero or do you keep the circles seperate?
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MJ_23
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#5
Report 14 years ago
#5
keep them separate
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