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Select the correct option from the given alternatives : In a set of 30 shirts, 17 are white and rest are black. 4 white and 5 black shirts are tagged as ‘PARTY WEAR’. If a shirt is chosen at random f - Mathematics and Statistics

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Question

Select the correct option from the given alternatives :

In a set of 30 shirts, 17 are white and rest are black. 4 white and 5 black shirts are tagged as ‘PARTY WEAR’. If a shirt is chosen at random from this set, the possibility of choosing a black shirt or a ‘PARTY WEAR’ shirt is

Options

  • `11/15`

  • `13/30`

  • `9/13`

  • `17/30`

MCQ

Solution

`17/30`

Explanation;

Required probability = P(A ∪ B)

= P(A) + P(B) – P(A ∩ B)

= `13/30 + 9/30 - 5/30 = 17/30`

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Chapter 9: Probability - Miscellaneous Exercise 9 [Page 213]

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