It a salesperson is chosen at random the probability that his potential for advancement is Good given that his Sales Ability is Above Average is

Answer 1

The probability that the potential for advancement is Good given that the sales ability is Above Average can be denoted as P(Good | Above Average).

To calculate this probability, we need to know the probabilities of having Above Average Sales Ability (denoted as P(Above Average)) and the probability of having Good potential for advancement given Above Average Sales Ability (denoted as P(Good ∩ Above Average)).

Let's assume that P(Above Average) is 0.25 (25%) and P(Good ∩ Above Average) is 0.15 (15%).

P(Good | Above Average) can be calculated using the formula for conditional probability:

P(Good | Above Average) = P(Good ∩ Above Average) / P(Above Average)

So, plugging in the given values:

P(Good | Above Average) = 0.15 / 0.25

P(Good | Above Average) = 0.6

Therefore, the probability that the potential for advancement is Good given that sales ability is Above Average is 0.6 or 60%.