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A die has two faces each with number ‘1’, three faces each with number ‘2’ and one face with number ‘3’. If die is rolled once, determine P(2) P(1 or 3) P(not 3)

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Question

A die has two faces each with number ‘1’, three faces each with number ‘2’ and one face with number ‘3’. If die is rolled once, determine

  1. P(2)
  2. P(1 or 3)
  3. P(not 3)
Sum
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Solution

Total possible outcomes on a dice = 6

i. 2 is marked on 3 faces

There are 3 ways to get 2

P(2) = `3/6 = 1/2`

ii. 1 is on two faces.

∴ Ways to get 1, P(1) = `2/6`

3 is marked on one face. So 3 can be got in one way, P(3) = `1/6`

∴ P(1 or 3) = `2/6 + 1/6 = 3/6 = 1/2`

iii. 3 is on only one face out of 6 faces.

So ways of not getting 3 = 6 – 1 = 5

∴ P(not 3) =`5/6`

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Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
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Chapter 14: Probability - Miscellaneous Exercise [Page 311]

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NCERT Mathematics [English] Class 11
Chapter 14 Probability
Miscellaneous Exercise | Q 3. | Page 311

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