Expected relative frequency probability represents a calculated probability based on large numbers of trials. In an example of a deck of 52 cards, where you randomly pull cards from the deck and record what they are, you find that over 1000 random draws, you pull an ACE 76 times. What would be the calculated probability based on relative frequency?
76/1000 = 0.076
quite close to the theoretical of 1/13=0.769230...
76/1000 = 0.076
quite close to the theoretical of 1/13=0.0769230...
To calculate the probability based on relative frequency, you divide the number of times the event occurred (76) by the total number of trials (1000). In this case, the calculated probability based on relative frequency would be:
Calculated Probability = Number of times event occurred / Total number of trials
Calculated Probability = 76 / 1000
Calculated Probability ≈ 0.076
Therefore, the calculated probability based on relative frequency in this example would be approximately 0.076 or 7.6%.
To calculate the probability based on relative frequency, you need to divide the number of successful outcomes (in this case, pulling an ACE) by the total number of trials (1000 random draws).
In your example, you pulled an ACE 76 times out of 1000 random draws. To calculate the relative frequency probability, you divide the number of ACEs (76) by the total number of trials (1000):
Probability = Number of ACEs / Total number of trials
Probability = 76 / 1000
Probability = 0.076
So, the calculated probability based on the relative frequency in this example is 0.076 or 7.6%.