Asked by zach
A random sample of six integers in the interval [1,42] is to be drawn.
The numbers are selected randomly, one after the other, and repeats
are allowed. What is the probability the six numbers in the sample will
all be different?
The numbers are selected randomly, one after the other, and repeats
are allowed. What is the probability the six numbers in the sample will
all be different?
Answers
Answered by
Reiny
number of all possible cases with repetition is
42^6
number of cases where they are all different
= 42x41x40x39x38x37
Prob (all different) = (42x41x40x39x38x37)/42^6
= appr .688
42^6
number of cases where they are all different
= 42x41x40x39x38x37
Prob (all different) = (42x41x40x39x38x37)/42^6
= appr .688
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