According to the data from an eCommerce platform, 75% of buyers use credit cards, 15% pay by direct debit, and 10% pay using vouchers. Among the credit card users, 62% purchases are made from local sellers and 38% from oversea sellers. Among direct debit users, 85% purchases are made from local sellers and 15% from oversea sellers.

For those using vouchers, 34% purchases are from local sellers and 66% from oversea sellers.

a) The eCommerce platform wants to sample an appropriate number of buyers purchasing from local or oversea sellers for each payment method. Fill in the probability in the following tree diagram for a randomly selected buyer:

b) What is the probability that a randomly selected purchase payment is made by a local seller with vouchers?

c) For a randomly selected buyer, what is P1Oversea
Credit card2?

d) For a randomly selected purchaser, what is P1Credit card
Oversea2?