Question

Compute the probability P (DI C) using

P(DNC)
P(DIC)=
P(C)
and the appropriate table values.
P(DIC) = (Round to two decimal places.)
A
B
D
0.20 0.10
E
0.20
0.10
Totals 0.40 0.20
с
0.35
0.05
0.40
Totals
0.65
0.35
1.00

Answer 1

Answer: 0.88

Work Shown:

`P(D \text{ given } C) = (P(D \cap C))/(P(C))\\\\P(D \text{ given } C) = (0.35)/(0.40)\\\\P(D \text{ given } C) = 0.875 \approx \boldsymbol{0.88}`

The value 0.875 is exact.

`P(D \cap C) = 0.35` is found in the "D" row and "C" column.

`P(C) = 0.40` is found at the bottom of the "C" column.