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16 Aug 2019, 01:47
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A box contains only pens, pencils, and pads. If an item is randomly selected from the box, what is the probability that the item will be either a pencil or a pad?
(1) The probability that the item will be pad is 1/4.
(2) The probability that the item will be pen is 1/3.
(1) The probability that the item will be pad is 1/4.
(2) The probability that the item will be pen is 1/3.
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18 Aug 2019, 05:01
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Let P(Pencil) be probability of finding a pencil. Similarly we will use P(Pen) and P(Pad) in our solution.
What we need to find is P ( either Pencil or Pad).
P(either Pencil or Pad) = P( not finding a Pen)
Statement 1
P(Pad)=1/4
It does not help us find P(Pencil)
Not sufficient
Statement 2
P(Pen)=1/3
We have P (not finding a Pen) = 1 - P(Pen)= 1 - 1/3 = 2/3
SUfficient
Answer: B
What we need to find is P ( either Pencil or Pad).
P(either Pencil or Pad) = P( not finding a Pen)
Statement 1
P(Pad)=1/4
It does not help us find P(Pencil)
Not sufficient
Statement 2
P(Pen)=1/3
We have P (not finding a Pen) = 1 - P(Pen)= 1 - 1/3 = 2/3
SUfficient
Answer: B
20 Aug 2019, 04:06
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The event of selecting a pencil is mutually exclusive to the event of selecting a pad. Therefore, the probability of selecting a pencil or a pad will be the cumulative of the two probabilities.
From statement I, we know the probability of selecting a pad, but not for the pencil. Statement I is insufficient.
Answer options A and D can be eliminated. Possible answer options are B, C or E.
From statement II we know that the probability of selecting a pen is \(\frac{1}{3}\). Therefore, the cumulative probability of selecting a pencil or a pad = 1 – \(\frac{1}{3}\) = \(\frac{2}{3}\).
Statement II is sufficient. Answer options C and E can be eliminated.
The correct answer option is B.
Hope this helps!
From statement I, we know the probability of selecting a pad, but not for the pencil. Statement I is insufficient.
Answer options A and D can be eliminated. Possible answer options are B, C or E.
From statement II we know that the probability of selecting a pen is \(\frac{1}{3}\). Therefore, the cumulative probability of selecting a pencil or a pad = 1 – \(\frac{1}{3}\) = \(\frac{2}{3}\).
Statement II is sufficient. Answer options C and E can be eliminated.
The correct answer option is B.
Hope this helps!
