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Mila [183]
4 years ago
13

Use the Venn diagram to calculate probabilities.

Mathematics
2 answers:
sergejj [24]4 years ago
6 0
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 <span>∩ C</span>) / 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 answer: <span>P(A|C) = 2/3</span>
Vlad [161]4 years ago
5 0

Total number of elements in the set =59.

1)P(A|C) = P(A ∩ C) / P(C)  = \frac{14}{21}=\frac{2}{3}

2)P(C|B) = P(C ∩ B) / P(B) =\frac{11}{27}

3) P(A) =\frac{31}{59}.

4)P(C) =\frac{21}{59}.

5)P(B|A)=P(B ∩ A) / P(A)=\frac{13}{31}

Options 1 and 3  are right.

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