Final answer:
The question involves calculating the probability of selecting at least 4 females from a group of 10 people, which includes 6 females and 4 males. This is done using the hypergeometric distribution, by summing up the individual probabilities of selecting exactly 4, 5, or 6 females.
Step-by-step explanation:
The student's question pertains to calculating the probability of selecting at least 4 females from a group of 10 people, which includes 6 females and 4 males. This is a problem that is based on the hypergeometric distribution, since the selection is made without replacement and involves two distinct groups.
To find the probability of selecting at least 4 females, we need to calculate the probability for each of the following scenarios: selecting exactly 4, 5, or 6 females. After calculating the individual probabilities, we then sum them up to find the total probability of selecting at least 4 females.
Example Calculation: The probability of selecting exactly 4 females can be calculated as:
P(exactly 4 females) = (combinations of 4 females) x (combinations of 6 - 4 people from the remaining group) / (combinations of 6 people from the total group).
This process is repeated for selecting exactly 5 and exactly 6 females, and the probabilities are added together.