• 1 Marks

QTB – May 2015 – L1 – SA – Q8 – Statistics

Determining the probability of receiving mutilated notes from a specific cashier using a tree diagram.

The following tree diagram shows the scenario with two cashiers (A and B) at a bank where represents mutilated notes and represents new notes.

 

 

If a customer received mutilated notes, what is the probability that she was paid by cashier A?

A. 0.54
B. 0.55
C. 0.56
D. 0.59
E. 0.61

Answer:
B. 0.55

Explanation:
Using the formula for conditional probability, we find the probability that the customer was served by cashier A given that they received mutilated notes. We compute:

 

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