Question

Two methods, A and B, are available for teaching a certain industrial skill. There is an 80% chance of successfully learning the skill if method A is used, and a 95% chance of success if method B is used. However, method B is substantially more expensive and is therefore used only 25% of the time (method A is used the other 75% of the time).
Required:
a. What is the probability that a worker will learn the skill successfully?
b. What is the probability that Method A was used?

Answer 1

Answer:

a. The probability that a worker will learn the skill successfully is 0.8375

b.The probability that Method A was used is 0.716

Explanation:

a. In order to calculate the probability that a worker will learn the skill successfully we would have to use the followinf formula:

probability that a worker will learn the skill successfully= 0.75*0.8 + 0.25*0.95

probability that a worker will learn the skill successfully=0.8375

The probability that a worker will learn the skill successfully is 0.8375

b. In order to calculate the probability that Method A was used we would have to use the following formula:

The probability that Method A was used= (0.75*0.8)/0.8375

The probability that Method A was used=0.716

The probability that Method A was used is 0.716