Final answer:
The question involves finding conditional probabilities using Bayes' formula and a tree diagram, with the method involving the division of the joint probability by the marginal probability.
Step-by-step explanation:
The student's question pertains to using Bayes' formula and a tree diagram to find conditional probabilities. Although the specific tree diagram mentioned is not provided, we can describe the general approach to solving such problems. The conditional probability P(A|B) is found by dividing the probability of both events A and B occurring, P(A and B), by the probability of B occurring, P(B). A tree diagram helps visualize the multiplicative aspects of probabilities along paths and can be used to find P(A and B). Bayes' formula can then update the probability of an event based on new information. When constructing a tree diagram, one must ensure that the probabilities at each decision point add up to 1 and that the total probability across the entire diagram sums to 1 as well.