Describe the sample space for the indicated experiment: A coin is tossed and a die is thrown.
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Answer:
sample space of an experiments the set of all possible outcomes for that experiments. In simple word it means the range of values of a random variable . For example when you toss a coin:- let us throw a coin and let it fall freely on the ground, resting on one of its faces. On the upper face it will show either a Head or Tail.
Thus throwing a coin,all possible outcomes are head ,tail . i.e { H , T}
throwing a dice:-
a dice is a solid cube having six faces, each one of which is a square.
We mark these faces as 1,2,3,4,5,6 respectively.
Let us throw a dice and let it fall freely on the ground, resting on one of its faces. Then, the number on the upper face is the outcome.
Thus , in throwing a dice, all possible outcomes are 1,2,3,4,5,6
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