\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

Answer : 1 and 3 are the correct probabilities.

→According to the given Venn diagram.

Total number of elements  = 59.

1)P(C)= and then

2)P(B)= and   then

3) P(A) =

4) P(C) =

5)

Therefore, option 1 and 3 are correct.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.