(a) In an experiment, a pair of dice (green and blue) are tossed and the numbers that come up are recorded. Assume that the first outcome is for the green die whereas the second outcome is for the blue die. (i) List the sample space S; (ii) List the elements for event X= {sum is greater than 8}; (iii) List the elements for event Y = {2 occurs on either die or both};

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(a)
In an experiment, a pair of dice (green and blue) are tossed and the numbers that come
up are recorded. Assume that the first outcome is for the green die whereas the second outcome
is for the blue die.
(i)
List the sample space S;
(ii)
List the elements for event X = {sum is greater than 8};
(iii)
List the elements for event Y = {2 occurs on either die or both};
(iv)
List the elements for event Z= {number greater than 4 comes up on the green
die};
(v)
List the elements corresponding to the event X Z;
(vi)
List the elements corresponding to the event Y N Z;
Transcribed Image Text:(a) In an experiment, a pair of dice (green and blue) are tossed and the numbers that come up are recorded. Assume that the first outcome is for the green die whereas the second outcome is for the blue die. (i) List the sample space S; (ii) List the elements for event X = {sum is greater than 8}; (iii) List the elements for event Y = {2 occurs on either die or both}; (iv) List the elements for event Z= {number greater than 4 comes up on the green die}; (v) List the elements corresponding to the event X Z; (vi) List the elements corresponding to the event Y N Z;
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