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Two dice are rolled. Let A = 'sum is even' and B = 'both numbers are odd'.
Is B a subset of A, and how many outcomes are in B?

Class 10Sample Space and EventsStatistics
  • AB subset of A; 9 outcomes
  • BB subset of A; 6 outcomes
  • CB not subset of A; 9 outcomes
  • DB subset of A; 3 outcomes

Step-by-Step Solution

Both odd means each die in {1,3,5}: outcomes. Odd+odd = even, so B is inside A.
Answer: A) B subset of A; 9 outcomes

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