High School Student Enrollment Ratio

When a fair coin is flipped a large number of times, the expected number of heads should be approximately equal to the number of tails. If we investigate which of the following results provides the strongest evidence that the coin is not fair, we can analyze the outcomes as follows:

  • Options:
    • A. 2 out of 3 flips were heads.
    • B. 3 out of 5 flips were heads.
    • C. 4 out of 6 flips were heads.
    • D. 1 out of 2 flips were heads.

Among these options, one that deviates significantly from the expected ratio of heads to tails would give stronger evidence against the coin being fair. A higher proportion of heads compared to tails would suggest bias.

Statistically, the likelihood of an event occurring by chance decreases as the number of trials increases. Thus, smaller sample sizes (like 2 or 3 flips) provide less conclusive evidence than larger sample sizes.