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# Elements of Sample Space

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A) Toss a coin 4 time or toss 4 coins once. List the elements of the sample space of the experiment.
b) how many 4-digit numbers can be formed from the digits 3.4.5.6.7.8.9 if
- each digit can be used only once
- the digits may be repeated?

https://brainmass.com/statistics/probability/elements-sample-space-153731

#### Solution Preview

Hi, here is the solution.

a) A coin is tossed 4 times. So the number of sample space will be 2^4 (16).

sample space: {HHHH, HHHT, HHTH, HTHH, THHH, HHTT, HTHT, HTTH, THTH, TTHH, ...

#### Solution Summary

This solution models the experiment of tossing a coin and lists the elements of the sample space and determines how many four-digit numbers can be formed if each digit is used once and if the digits can be repeated.

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