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19 Aug 2024, 01:30
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D
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Difficulty:
25%
(medium)
Question Stats:
78% (01:08) correct
22%
(01:16)
wrong
based on 98
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A jar contains 20 marbles, each of a single color: red, green, blue, or black. If a single marble is drawn at random, what is the probability that it will be red?
(1) The probability that a marble will not be a given color is the same for all 4 colors.
(2) There are 5 red marbles.
(1) The probability that a marble will not be a given color is the same for all 4 colors.
(2) There are 5 red marbles.
19 Aug 2024, 02:23
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The probability will be: \(\frac{red}{all marbles}\)
(1) The probability that a marble will not be a given color is the same for all 4 colors
For this statement to hold, all four of the colours have to have an equal amount of marbles in the jar. Therefore the number of red marbles in the jar is \(\frac{20}{4} = 5\) and the probability will be \(\frac{5}{20} = \frac{1}{4}\) or \(25\)%
SUFFICIENT
(2) There are 5 red marbles
\(\frac{5}{20} = \frac{1}{4}\) or \(25\)% chance of drawing red.
SUFFICIENT
ANSWER D
(1) The probability that a marble will not be a given color is the same for all 4 colors
For this statement to hold, all four of the colours have to have an equal amount of marbles in the jar. Therefore the number of red marbles in the jar is \(\frac{20}{4} = 5\) and the probability will be \(\frac{5}{20} = \frac{1}{4}\) or \(25\)%
SUFFICIENT
(2) There are 5 red marbles
\(\frac{5}{20} = \frac{1}{4}\) or \(25\)% chance of drawing red.
SUFFICIENT
ANSWER D
19 Aug 2024, 22:46
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Statement 1: The probability that a marble will not be a given color is the same for all 4 colors.
Probability of not being red = 1 - (Probability of other colors)
This is possible only when the sum of any 3 colored marbles are same, which in turn number of all colored marbles are equal.
When all 4 colors are equal in numbers, all will have same probability of \(\frac{1}{4}\)
Sufficient
Statement 2: There are 5 red marbles.
\(P(R)=\frac{5}{20}=\frac{1}{4}\)
Sufficient
Answer is D
Probability of not being red = 1 - (Probability of other colors)
This is possible only when the sum of any 3 colored marbles are same, which in turn number of all colored marbles are equal.
When all 4 colors are equal in numbers, all will have same probability of \(\frac{1}{4}\)
Sufficient
Statement 2: There are 5 red marbles.
\(P(R)=\frac{5}{20}=\frac{1}{4}\)
Sufficient
Answer is D
