Math 30-2

Unit 4: Probability

Lesson 4: Independent-Dependent Events

I need solutions for these questions please. their will be a answer key after the questions below that my teacher gave it to me. thank you

2. Consider two events such that P(A)=1/5, P(B)=1/3, and P (A B) =1/15.

a) Are A, B mutually exclusive event? b) Are A, B independent events?

3. Consider two events such that P(A)=1/4, P(B)=1/3, and P(A B)= 3/4 .

a) Are A, B mututally exclusive events b) Are A, B independent events?

4. Let A and B be events with P A( ) = 0.55 and P B( ) = 0.45 , and P A B ( and 0.3 ) = .

Determine:

a) P ( A \ B)

b) P (B \ A )

c) P( A B )

6. Sarah rolls a pink die and a purple die. Determine the probability that the pink die shows a

2 and the purple die shows a 3 or 4.

Answer key

2. a) No, P (A B ) 0 , b) Yes, P ( A B)= P(A) P(B)

3. a) No, P ( AB) P (A) + P (B) , b) No, they are dependent P ( AB) P(A) P(B)

4. a) 0.55, b) 0.67, c) 0.70

6. 1/18