A die is thrown. Describe the following events: (i) A : a number

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 Multiple Choice QuestionsLong Answer Type

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397. A die is thrown. Describe the following events:

(i) A : a number less than 7.

(ii) B : a number greater than 7.

(iii) C : an multiple of 3.

(iv) D : a number less-than 4.

(v) E : an even number greater than 4.

(vi) F : a number is not less than 3.

Also, find, A ∪ B, A ∩ B, B ∪ C, E ∩ F, D ∩ E, A - C, D - E, F', E ∩ F'


(i) One die is thrown
∴  The sample space S= {1, 2, 3, 4, 5, 6}                                                         ...(i)
Event A: the number obtained is less than 7.                                    
rightwards double arrow         A = {1, 2, 3, 4, 5, 6} = S

(ii) Event B: a number greater than 7.
rightwards double arrow              straight B equals open curly brackets straight ϕ close curly brackets 

(iii) Event C: a multiple of 3.
rightwards double arrow               C = {3, 6}

(iv) Event D: a number less than 4.
rightwards double arrow               D = {1, 2, 3}

(v) Event E : an even number greater than 4.
rightwards double arrow               E = {6}

(vi) Event F: a number is not less than 3.

rightwards double arrow                       F = {3, 4, 5, 6]

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                    straight A intersection straight B equals space left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 right curly bracket space intersection space straight ϕ space equals space straight ϕ

                 straight B union straight C space equals space straight ϕ space union space left curly bracket 3 comma space 6 right curly bracket space equals space left curly bracket 3 comma space 6 right curly bracket space equals space straight B

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                  straight D intersection straight E space equals space left curly bracket 1 comma space 2 comma space 3 right curly bracket space intersection space left curly bracket 6 right curly bracket space equals space left curly bracket space right curly bracket space equals space straight ϕ

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#1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493)
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                 straight D minus straight E space equals space straight D minus left parenthesis straight D intersection straight E right parenthesis space equals space open curly brackets 1 comma space 2 comma space 3 close curly brackets space minus space straight ϕ space equals space left curly bracket 1 comma space 2 comma space 3 right curly bracket space minus space left curly bracket space right curly bracket space equals space left curly bracket 1 comma space 2 comma space 3 right curly bracket space equals space straight D

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                  straight E intersection straight F apostrophe space equals space open curly brackets 6 close curly brackets space intersection space open curly brackets 1 comma space 2 close curly brackets space equals space straight ϕ
                 

                 
              





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