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31 Oct 2025, 10:58
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
38% (01:09) correct
61% (00:37) wrong based on 13 sessions
History
Date
Time
Result
Not Attempted Yet
Maya flipped 24 coins, each of which landed with either a head face up or a tail face up, hereafter referred to as an outcome of “heads” or “tails.” Which of the following could not be the ratio of “heads” to “tails?”
Indicate all that apply.
A. 1:1
B. 2:1
C. 3:1
D. 4:1
E. 5:1
Indicate all that apply.
A. 1:1
B. 2:1
C. 3:1
D. 4:1
E. 5:1
02 Nov 2025, 11:59
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Official Explanation
Test the answer choices. If the ratio of heads to tails were 1:1, choice (A), then for some integer \(x, 1x + 1x = 24,\) so \(2x = 24,\) and \(x = 12.\) This would mean 12 heads and 12 tails, which is permissible. The choice that could not be the ratio of heads to tails is (D), 4:1, because then 4x + 1x would equal 24. If 5x = 24, x is not an integer. Specifically, we could not have 4.8 tosses that resulted in “tails.”
Answer: D
Test the answer choices. If the ratio of heads to tails were 1:1, choice (A), then for some integer \(x, 1x + 1x = 24,\) so \(2x = 24,\) and \(x = 12.\) This would mean 12 heads and 12 tails, which is permissible. The choice that could not be the ratio of heads to tails is (D), 4:1, because then 4x + 1x would equal 24. If 5x = 24, x is not an integer. Specifically, we could not have 4.8 tosses that resulted in “tails.”
Answer: D
