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29 Apr 2018, 09:25
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
79% (00:52) correct
21%
(01:04)
wrong
based on 169
sessions
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A bag contains 24 chips, each of which is black, blue, green, or red, all identical except for color. If a chip is randomly drawn from the bag, what is the probability that the chip drawn is black or blue?
(1) The probability that the chip drawn will be green or red is 1/2.
(2) The probability that the chip drawn is black is 1/3.
(1) The probability that the chip drawn will be green or red is 1/2.
(2) The probability that the chip drawn is black is 1/3.
29 Apr 2018, 13:23
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Solution
Given:
• The bag contains 24 chips in total
• Each of the chips is of black, blue, green, or red
• All the chips are identical, except their color
To find:
• If a chip is drawn randomly from the bag, what is the probability that it is either black or blue
Approach and Working:
• To find the probability that the chip drawn is either black or blue, we need to know either of the following:
- o The number of blue and black balls
- o The individual probability of drawing black balls or blue balls
- o Or, the number of green and red balls
- o Or, the probability of drawing either green or red ball
Analysing Statement 1
• As per the information given in Statement 1, probability that the chip drawn will be red or green = \(\frac{1}{2}\)
- o Therefore, the probability that the chip drawn will be black or blue = (1 – \(\frac{1}{2}\)) = \(\frac{1}{2}\)
Analysing Statement 2
• As per the information given in Statement 2, the probability that the chip drawn is black is \(\frac{1}{3}\)
- o However, this statement does not provide any information about the blue balls
Hence, the correct answer is option A.
Answer: A
03 Jul 2020, 23:46
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Bunuel
Statement 1: Colors of chips in bag are black, blue, green and red.
Total probability = 1
IF the probability that the chip drawn will be green or red is 1/2.
We can get the probability that the chip drawn is black or blue = 1 - 1/2 = 1/2
Sufficient
Statement 2:
The probability that the chip drawn is black is 1/3.
We get no information about blue chip probability.
Not sufficient
Hence, OA is (A).
