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25 Sep 2023, 01:30
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E
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59% (01:19) correct
41%
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When choosing two animals without replacement, what is the probability of randomly choosing two cows out of all the animals at Old McDonald’s farm?
(1) The ratio of the number of cows to the number of goats at the farm is 5:6.
(2) The only animals at the farm are cows and goats.
(1) The ratio of the number of cows to the number of goats at the farm is 5:6.
(2) The only animals at the farm are cows and goats.
25 Sep 2023, 23:43
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Bunuel
Statement 1 and Statement 2 are individually not sufficient. Statement 1 tells us the ratio of cows to goats, however, doesn't specify whether the farm has any other animals. While statement 2 provides us with information on the types of animals at the farm, however, doesn't specify the number.
So, we can eliminate A, B, and D.
Combined
Combined we have a ratio of the number of cows to the number of goats in the farm. However, we do not have the absolute number.
Example. Number of cows = 5 and the Number of goats = 6.
Required probability = \(\frac{^5C_2}{^{11}C_2}\)
However, if the number of cows = 10 and the number of goats = 12
Required probability = \(\frac{^{10}C_2}{^{22}C_2}\)
The values of both probabilities are different. Hence, we cannot come up with a definite answer.
Option E
03 Dec 2024, 01:28
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