A bowl of beads has 500 red and 500 white beads. In a random sample of two beads, you select two white beads; if you took a random sample of 100 beads, you would expect

A) mostly white beads again because it is obviously easier to draw white beads.
B) mostly red beads this time; it is actually easier to draw red beads.
C) approximately 50 red beads and 50 white beads because it is a larger sample.
D) none of the above; there is not enough information given to make a prediction.

Question

Kizzyonna Collier · Accepted Answer

Final Answer : C, Explanation :  Given the equal number of red and white beads (500 each), a random sample of 100 beads would statistically be expected to contain approximately equal numbers of red and white beads, hence around 50 of each. This expectation is based on the principle of probability and the law of large numbers, which suggests that as the sample size increases, the sample proportion will tend to get closer to the true proportion in the population.

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