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30 Oct 2023, 01:30
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Difficulty:
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Question Stats:
93% (00:33) correct
7%
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wrong
based on 54
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What is the probability of randomly choosing a cow out of all the animals on Old McDonald's farm?
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
(2) The only animals on the farm are cows and goats.
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
(2) The only animals on the farm are cows and goats.
30 Oct 2023, 05:22
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Bunuel
Probability of choosing a cow out of all the animals on Old McDonald's farm = Total number of cow/Total animal
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
Now we know that number of cows = 5x
But we don't know about total number of animal as we know only about goats i.e. is 6x
So statement A is not sufficient.
(2) The only animals on the farm are cows and goats.
Knowing that only animals on the farm are cows and goats we don't know how many cows/goats.
So statement B is not sufficient.
Combining both :
We know that total number of animals = 11x
Cows = 5x
So probability = 5x/11x
= 5/11
Ans is C both the statement required to get the answer
30 Oct 2023, 08:13
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To determine the probability of randomly choosing a cow from Old McDonald's farm, we need more information. Let's evaluate the two statements provided:
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
This statement tells us the ratio of cows to goats on the farm, but it doesn't provide the actual numbers of cows or goats. Therefore, this statement alone is not sufficient to determine the probability.
(2) The only animals on the farm are cows and goats.
This statement confirms that there are only cows and goats on the farm, which is useful information. However, it still doesn't provide the specific numbers of cows and goats.
If we have both statements, we can determine the probability of randomly choosing a cow from Old McDonald's farm.
Here's how:
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
(2) The only animals on the farm are cows and goats.
Let's denote the number of cows as C and the number of goats as G. From statement (1), we know that the ratio C:G is 5:6.
So, we can write this as C/G = 5/6.
Now, from statement (2), we know that there are only cows and goats on the farm, which means the total number of animals is C + G.
To find the probability of randomly choosing a cow, you need to calculate the probability as:
Probability of choosing a cow = (Number of cows) / (Total number of animals)
We can express the total number of animals as C + G.
Now, we have a system of two equations:
C/G = 5/6
Total number of animals = C + G
We can solve this system of equations to find both C and G. Once we know the values of C and G, we can calculate the probability.
So, with both statements (1) and (2), we can determine the probability of randomly choosing a cow from the farm.
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
This statement tells us the ratio of cows to goats on the farm, but it doesn't provide the actual numbers of cows or goats. Therefore, this statement alone is not sufficient to determine the probability.
(2) The only animals on the farm are cows and goats.
This statement confirms that there are only cows and goats on the farm, which is useful information. However, it still doesn't provide the specific numbers of cows and goats.
If we have both statements, we can determine the probability of randomly choosing a cow from Old McDonald's farm.
Here's how:
(1) The ratio of the number of cows to the number of goats on the farm is 5:6.
(2) The only animals on the farm are cows and goats.
Let's denote the number of cows as C and the number of goats as G. From statement (1), we know that the ratio C:G is 5:6.
So, we can write this as C/G = 5/6.
Now, from statement (2), we know that there are only cows and goats on the farm, which means the total number of animals is C + G.
To find the probability of randomly choosing a cow, you need to calculate the probability as:
Probability of choosing a cow = (Number of cows) / (Total number of animals)
We can express the total number of animals as C + G.
Now, we have a system of two equations:
C/G = 5/6
Total number of animals = C + G
We can solve this system of equations to find both C and G. Once we know the values of C and G, we can calculate the probability.
So, with both statements (1) and (2), we can determine the probability of randomly choosing a cow from the farm.
