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The probability of selecting at least 4 females from a group of 10 people, including 6 females and 4 males, is approximately:

a) 0.5
b) 0.8
c) 0.67
d) 0.3

User DLende
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1 Answer

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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.

User Mitanshu
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