There are 10 stations at your new job. Your manager trains you on 4 stations at random. What is the probability that you are not trained on the most desirable station? Probability: %
Question
There are 10 stations at your new job. Your manager trains you on 4 stations at random. What is the probability that you are not trained on the most desirable station? Probability: %
Solution
To solve this problem, we need to understand the basics of probability.
Step 1: Identify the total number of outcomes. In this case, the total number of stations is 10.
Step 2: Identify the total number of favorable outcomes. In this case, the favorable outcome is not being trained on the most desirable station. Since there is only one most desirable station, there are 9 other stations where you could be trained.
Step 3: Calculate the probability. The probability of an event is calculated by dividing the number of favorable outcomes by the total number of outcomes.
So, the probability of not being trained on the most desirable station is 9/10 = 0.9 or 90%.
However, this is the probability for one station only. Since you are trained on 4 stations, we need to consider this as well.
Step 4: Calculate the probability for 4 stations. The probability of not being trained on the most desirable station in 4 tries is (9/10) * (8/9) * (7/8) * (6/7) = 0.6 or 60%.
So, the probability that you are not trained on the most desirable station is 60%.
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