Relative Frequency Definition of ProbabilityThe relative frequency definition of probability says: If an experiment is repeated, the probability of an event (a specified outcome of the experiment) is the relative frequency of occurrence of that event in a large number of repetitions of the experiment. Show
In this definition 'large number' is vague and will not be made precise here. The following links use the Virtual Laboratories in Probability and Statistics by Professor Kyle Siegrist of the University of Alabama at Huntsville. Each link opens a page that illustrates the relative frequency definition of probability for a different situation.
Sample Space Definition of Probability
What are the chances of getting 3 heads when you flip a coin 6 times?The number of outcomes with exactly 3 heads is given by (63) because we essentially want to know how many different ways we can take exactly 3 things from a total of 6 things. The value of this is 20. So the answer is 20/64=5/16.
What is the probability of flipping a coin six times and getting three heads and three tails in any order?Hence, the probability of getting 3 heads and 3 tails in flipping a coin 6 times is 0.3125.
What is the probability of obtaining 3 heads in three flips of a fair coin?Correct answer:
Explanation: If you flip a coin, the chances of you getting heads is 1/2. This is true every time you flip the coin so if you flip it 3 times, the chances of you getting heads every time is 1/2 * 1/2 * 1/2, or 1/8.
What is the probability of obtaining exactly 3 heads?Answer: If you flip a coin 3 times the probability of getting 3 heads is 0.125.
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