Question

Let E be the event that Tom has English homework, and let H be the event that Tom has history homework.



P of E equals 0.6

P of H equals 0.4

P of E and H equals 0.3

Question 1
,begin emphasis,Part A,end emphasis,
Are E and H dependent or independent events?

Question 1 Answer options with 2 options
A.
dependent

B.
independent

Question 2
,begin emphasis,Part B,end emphasis,
Which equation justifies why the events are dependent or independent?

Question 2 Answer options with 4 options
A.
P of E and H does not equal P of E plus P of H

B.
P of E and H does not equal P of E times P of H

C.
P of E and H equals P of E minus P of H

D.
P of E and H equals P of E times P of H

Answer 1

Part A: A. dependent

Reason: For independence we'd need P(E and H) = P(E)·P(H) = 0.6·0.4 = 0.24, but actual P(E and H) = 0.3 ≠ 0.24, so they are dependent.

Part B: B. P of E and H does not equal P of E times P of H