Here are some more problems using the same diagrams.

Independent Events – returning the coin

P (P, D )

Go to the penny trunk and count the dime branches 1/25

P (Not N, Q )

Go to the penny, dime, quarter 1 and quarter 2 trunks and count the quarter branches 8/25

P (P, N, or D, and then Q)

Go to penny, nickel, and dime trunks and count the quarter branches 6/25

P (Q, not P)

Go to the quarter one and quarter two trunks and count nickels, dimes, and quarters 8/25

Dependent Events – spending the coin and not returning it to the bank

P (P,D)

Go the penny trunk and count the dime branches 1/20

P (Not N, Q)

Go to the penny, dime quarter one and quarter 2 trunks and count the quarters 6/20 = 3/10

P (P, N, or D, and then Q)

Go to the penny, nickel, and dime trunks and count the quarter branches 6/20 = 3/10

P (Q, not P)

Go to the quarter one and quarter 2 trunks and count nickels , dimes, and quarter branches 6/20 = 3/10