English

While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours ______.

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Question

While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours ______.

Options

  • `29/52`

  • `1/2`

  • `26/51`

  • `27/51`

MCQ
Fill in the Blanks
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Solution

While shuffling a pack of 52 playing cards, 2 are accidentally dropped. Find the probability that the missing cards to be of different colours `26/51`.

Explanation:

We know that out of 52 playing cards 26 are of red and 26 are of black colour.

∴ P(both cards of different colour) = `26/50 xx 56/51 + 26/52 xx 26/51`

= `2 xx 26/52 xx 26/51`

= `26/51`

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Chapter 16: Probability - Exercise [Page 299]

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NCERT Exemplar Mathematics Exemplar [English] Class 11
Chapter 16 Probability
Exercise | Q 20 | Page 299

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