Two people are selected at random from a group of 6 pilots and 4 engineers. What is the probability that both of them are engineers?
2/15
To find the probability that both selected individuals are engineers, we need to calculate the probability of selecting the first engineer and then the probability of selecting the second engineer, assuming that the first engineer was already selected.
Step 1: Calculate the probability of selecting the first engineer:
There are a total of 10 people in the group, of which 4 are engineers. The probability of selecting the first engineer is 4/10.
Step 2: Calculate the probability of selecting the second engineer, assuming the first engineer was already selected:
After selecting the first engineer, there are now 9 people left in the group, out of which 3 are engineers. The probability of selecting the second engineer is 3/9.
Step 3: Calculate the overall probability:
Since the two events (selecting the first engineer and selecting the second engineer) are independent, we can multiply their probabilities to get the overall probability:
(4/10) * (3/9) = 12/90 = 2/15
Therefore, the probability of selecting two engineers from the group of pilots and engineers is 2/15.