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PROBABILITY — Statistics STD 12 Commerce — Question

Gujarat BoardEnglish MediumSTD 12 CommerceStatisticsPROBABILITY2 Marks
Question
Write the sample space of random experiment of randomly selecting three numbers from the first four natural numbers.
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Answer

If three numbers are selected simultaneously from the first four natural numbers $1,2,3,4$ then those three numbers can be $(1,2,3),(1,2,4),(1,3,4)$ or $(2,3,4)$.
Thus, the sample space of the random experiment will be as follows : $U=\{(1,2,3),(1,2,4),(1,3,4),(2,3,4)\}$
$ 3$ numbers are to be selected here from the 4 numbers which has ${ }^{4} C_{3}=4$ combinations.
​​​​​​​Thus, the total number of outcomes for this random experiment is $4 .$

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