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04 Sep 2025, 22:36
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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:
(N/A)
Question Stats:
50% (01:22) correct
50% (00:36) wrong based on 2 sessions
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The probability that independent events C and D will both occur is 0.11.
Quantity A
The probability that event C will occur
Quantity B
0.09
Quantity A
The probability that event C will occur
Quantity B
0.09
21 Sep 2025, 12:35
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Official Explanation
The probability of any event is between 0 and 1, inclusive; that is, \(0 ≤ p ≤ 1,\) for any probability, p. The probability of two independent events both occurring is the product of their individual probabilities. If the probability of Event C occurring were as low as .09, the value in column (B), then the probability of both events occurring would be less than or equal to .09, since .09 times a number from 0 through 1 would be at most .09. But the given probability of both events occurring is .11, which is greater than .09, so the probability of Event C occurring cannot be as low as .09, and therefore it must be greater than .09, and (A) is correct.
Answer: A
The probability of any event is between 0 and 1, inclusive; that is, \(0 ≤ p ≤ 1,\) for any probability, p. The probability of two independent events both occurring is the product of their individual probabilities. If the probability of Event C occurring were as low as .09, the value in column (B), then the probability of both events occurring would be less than or equal to .09, since .09 times a number from 0 through 1 would be at most .09. But the given probability of both events occurring is .11, which is greater than .09, so the probability of Event C occurring cannot be as low as .09, and therefore it must be greater than .09, and (A) is correct.
Answer: A
