Conditional Probability

For the events $C$ and $D$ , it is given that:

\cap D) = 0.35 \quad \text{and} \quad P(C' \cap D') = 0.25

a.

Find $P (C)$ .

[2]

b.

Find $\cup D)$ .

[2]

c.

Given that $P (C ∣ D) = 0.125$ ,

find $\cap D)$ .

[4]

d.

Determine whether or not $C$ and $D$ are independent.

[3]

For the events $C$ and $D$ , it is given that:

\cap D) = 0.35 \quad \text{and} \quad P(C' \cap D') = 0.25

a.

Find $P (C)$ .

[2]

b.

Find $\cup D)$ .

[2]

c.

Given that $P (C ∣ D) = 0.125$ ,

find $\cap D)$ .

[4]

d.

Determine whether or not $C$ and $D$ are independent.

[3]

Conditional Probability Questions