Question

a probability tree is used in probability theory to compute
a. posterior probabilities and marginal probabilities.
b. unconditional probabilities and marginal probabilities.
c. marginal probabilities and prior probabilities.
d. joint probabilities and conditional probabilities.

Explanation:

A probability tree is a visual - tool in probability theory. By multiplying the probabilities along the branches, we can find joint probabilities. And by using the branches and conditional relationships, we can calculate conditional probabilities. It is not mainly used for posterior, unconditional, or prior probabilities in the way described in other options.

Answer:

d. joint probabilities and conditional probabilities