anonymous
  • anonymous
Explain in your own words what is meant by a probability experiment and the corresponding sample space. Give an example.
Mathematics
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schrodinger
  • schrodinger
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anonymous
  • anonymous
In science, say chemistry, we add various chemicals to study about reactions Similarly, in probability - a branch of mathematics - we carry out experiments to measure the chance of an event occurring if future. This is called probability experiment.
anonymous
  • anonymous
We can say : A probability experiment involves performing a number of trials to enable us to measure the chance of an event occurring in the future. A trial is a process by which an outcome is noted.
anonymous
  • anonymous
For eg if you actually toss a coin 100 times and note the number of times you get HEADS and the number of times you get TAILS, then you have carried out a probability experiment.

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anonymous
  • anonymous
The sample space of an experiment is the set of all possible outcomes of any trial of the experiment to be conducted. For eg. If you toss a single coins, then the two possible outcomes are H or T So its sample space is given as S = {H,T} If you toss two coins simultaneously, then the four possible outcomes are HH, HT, TH, TT So, its sample space is S = {HH, HT, TH, TT} Pls note, here HT is different from TH because HT means Heads on first coin and Tails on second coin and TH means Tails on first coin and Heads on second coin Hope this is clear enough for you??????? :D

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