Answer:
In this case, the method of sampling employed by the poll
Explanation:
Convenience sampling, often referred to as grab, opportunity, or accidental sampling, is a non-probability sampling technique where the sample is collected from the part of the population that is easily accessible. This technique proves to be particularly useful for preliminary investigations.
This type of sampling makes selections based on ease of access, willingness of individuals to participate, and availability at specific times.
Consequently, this approach can lead to biased results and may not yield the expected outcomes.
Part A:
Considering the best possible outcome
The ideal case occurs if the two missing socks are from the same pair.
Consequently, there are 4 complete pairs remaining.
To choose 2 from the total of 10 socks (5 pairs), the number of combinations is given by 10C2 = 45.
Choosing 2 that are from the same pair means selecting one from 5 pairs, so the count is 5C1 = 5.
Thus, the probability for this best case is 5 / 45 = 1 / 9.
Part B:
Considering the worst-case outcome
This scenario occurs when the two missing socks are from different pairs.
As a result, we have 3 complete pairs left.
The total ways to select 2 socks from 10, again, is 10C2 = 45.
To select 2 that do not belong to the same pair, we calculate as follows: 10C2 - 5C1 = 45 - 5 = 40.
Therefore, the probability for the worst-case scenario is 40 / 45 = 8 / 9.
Answer: Expressions A and C yield the same result.
Step-by-step explanation:
When simplifying, it turns out that only A and C reduce to 6x-4
