Use the venn diagram to calculate probabilities.
which probabilities are correct?
check all that apply.
p(a|c) = 2/3
p(c|b) = 8/27
p(a) = 31/59
p(c) = 3/7
p(b|a) = 13/27

1. The number of elements of the universal set, or the sample space is 59

2. P(A|C) is the probability of A to happen once we know C has occured

it is calculated using the formula P(A|C) = P(A ∩ C) / P(C) = (14/59)/(21/59)=14/21=2/3

3. P(C|B) = P(C ∩ B) / P(B) = (11/59)/(27/59)=11/27

4. P(C)=(6+8+3+4)/59=21/59

5. P(B|A) = P(B ∩ A) / P(A) = (13/59)/(31/59)=13/31

Correct  P(A|C) = 2/3

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