anonymous
  • anonymous
Toss a fair dice twice. Define the following events: A ={the sum of the 2 numbers that turn up is odd} B ={the sum of the 2 numbers that turn up is divisible by 2} C ={the sum of the 2 numbers that turn up is divisible by 3} a) Are events A and B ( i) independent; (ii) mutually exclusive; (iii) exhaustive ? My Ans: a i) Dependent a ii) Mutually exclusive a iii) Exhaustive b) Are events A and C ( i) independent; (ii) mutually exclusive; (iii) exhaustive ? b i) Dependent b ii ) Not Mutually Exclusive b iii) Not exhaustive.
Mathematics
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
Toss a fair dice twice. Define the following events: A ={the sum of the 2 numbers that turn up is odd} B ={the sum of the 2 numbers that turn up is divisible by 2} C ={the sum of the 2 numbers that turn up is divisible by 3} a) Are events A and B ( i) independent; (ii) mutually exclusive; (iii) exhaustive ? My Ans: a i) Dependent a ii) Mutually exclusive a iii) Exhaustive b) Are events A and C ( i) independent; (ii) mutually exclusive; (iii) exhaustive ? b i) Dependent b ii ) Not Mutually Exclusive b iii) Not exhaustive.
Mathematics
schrodinger
  • schrodinger
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
For the first one, a number cannot be both odd and divisible by two, so they are (ii), mutually exclusive. A and B are also exhaustive, since a whole number will *either* be odd or divisible by two. For the second one, both A and C can occur together *or* apart, but there are more possible results, so they are (ii), not mutually exclusive.
anonymous
  • anonymous
I think I solved it too, just hope my answers are all right.
anonymous
  • anonymous
@snowpolar Thank for the medal :)

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