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Attacking Probability and Statistics Problems  Problems in Probability  40 Puzzles and Problems in Probability and Mathematical Statistics  Statistics and Probability in High School  Financial and Actuarial Statistics
 The Humongous Book of Statistics Problems

Collection of problems in probability theory  Probability and Statistics by Example: Volume 1, Basic Probability and Statistics  Schaum's Outline of Probability and Statistics, 4th Edition

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 Probability: A coin is tossed twice.
  (a) Indicate a sample space for this experiment.
  (b) Indicate also a sample space for the number of heads obtained.

 A coin has two sides, heads and tails. If the coin is tossed once, then either H (heads) or T (tails) could occur. If it is tossed
       twice, both heads could occur. Both tails could occur also. Likewise, either heads or tails could occur on either toss. The
       appropriate sample space 
S for this experiment would be the set of possible outcomes, being S = {TT, HH, TH, HT}. Both
       letters together represent the possibilities of the first and second toss.

 For the number of heads, there could be 1 (one) on the first toss and 1 on the second, making it 2 heads. There could also be
on the first and 0 (none) on the second. Vice versa, there could be 0 on the first and 1 on the second. There could even be 0
       on both tosses. 
The sample space then for this would be S = {2, 1, 0}. 

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