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A bag has balls with 9 , 5 and 8 single digits imprinted on them. 30 Jul 2020, 10:51
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65% (hard)

Question Stats:

58% (02:18) correct 43% (02:36) wrong based on 40 sessions

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A bag has balls with 9 , 5 and 8 single digits imprinted on them. If the product of the digits on all the balls is 19800 what is the probability that the ball picked does not have a digit 8?

a)1/5
b)2/5
c)3/5
d)4/5
e)0

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D
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A bag has balls with 9 , 5 and 8 single digits imprinted on them. 30 Jul 2020, 14:10
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dracarys007
A bag has balls with 9 , 5 and 8 single digits imprinted on them. If the product of the digits on all the balls is 19800 what is the probability that the ball picked does not have a digit 8?

a)1/5
b)2/5
c)3/5
d)4/5
e)0
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Solution


    • The product of the digits on all the balls \(= 19800 = 2^3*3^2*5^2*11 = 8*9*5*5*11\)
    • So, the bag must have
      o 1 ball with 9 imprinted on it.
      o 1 ball with 8 imprinted on it.
      o 1 ball with 11 imprinted on it.
      o And 2 balls with 5 imprinted on it.
    • Total balls = 5
    • Number of balls on which 8 in not imprinted = 4
    • P(not picking a ball with 8 on it) \(= \frac{4}{5}\)
Thus, the correct answer is Option D.
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A bag has balls with 9 , 5 and 8 single digits imprinted on them. 31 Jul 2020, 13:06
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dracarys007
A bag has balls with 9 , 5 and 8 single digits imprinted on them. If the product of the digits on all the balls is 19800 what is the probability that the ball picked does not have a digit 8?

a)1/5
b)2/5
c)3/5
d)4/5
e)0
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We cannot get 19800 without an eleven as a factor hence question needs to mention that there is a ball with the digit 11 imprinted on it too!
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A bag has balls with 9 , 5 and 8 single digits imprinted on them. 01 Aug 2020, 07:25
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dracarys007
A bag has balls with 9 , 5 and 8 single digits imprinted on them. If the product of the digits on all the balls is 19800 what is the probability that the ball picked does not have a digit 8?
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Is this the actual wording of the question? If a question says some balls have "8 single digits imprinted on them", that means on some balls you'd find eight digits written - so on one ball, perhaps you'd see "1, 4, 5, 3, 9, 2, 4, 3" or some other collection of eight digits. It does not mean that the lone digit "8" is written on some balls, which is what I imagine the question is trying to say. And then the actual question is mystifying: "what is the probability the ball picked...?" Which ball? The question never tells us anyone is picking a ball, or how they're doing it. And then even if I make my best guess of what the question is trying to say, it's impossible to get a product of 19800 using only single-digit numbers (you need to use 11 somehow).

So it's just a baffling question for several reasons -- as it's worded, it does not make sense.

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