SOLUTION: A card is chosen from a deck of cards and returned. In a total of 54 trials, 38 red cards were chosen. a) Write the experimental probability of choosing a red card, expressed a

Question 1014901: A card is chosen from a deck of cards and returned. In a total of 54 trials, 38 red cards were chosen.
a) Write the experimental probability of choosing a red card, expressed as a decimal
b) Write the Theoretical probability of choosing a red card, expressed as a decimal.
c) Explain how you might get the results from part a) closer to the results for part b)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
a) The experimental probability should be 38/54, or 0.7037
b) The theoretical probability is 1/2, or 0.50. (Exactly half of all the cards are red.)
c) Just increase the number of trials in the experiment. Each drawing (with replacement) is a Bernoulli trial with favorable probability of 0.50, and so the Central Limit Theorem assures us that if we draw often enough, the average should be close to 0.50.
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