McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
6. Probabilities of Mutually Exclusive Events
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Exercise 25 Page 930

Recall that the experimental probability of the event is calculated by the dividing number of event occurrences by the number of trials.

3/13 or 23.1 %

Practice makes perfect
When calculating the experimental probability, we are comparing the number of times the event occurs to the number of times the experiment is done. P=Times the Event Occurs/Times the Experiment Is Done This is very similar to the Probability Formula. There are 52 cards in a standard deck of cards, which is also the number of times the experiment is done.
In the deck, there is a total of 3 club face cards, 3 diamond face cards, 3 spade face cards, and 3 heart face cards. The sum of these values is the number of times the event occurs. 3+3+3+3= 12 face cards Now we have enough information to calculate P(Face card).
P=Times the Event Occurs/Times the Experiment Is Done
P(Face card)=12/52
P(Face card)=3/13
Convert to percent
P(Face card)=0.230769...
P(Face card)≈0.231
P(Face card)≈23.1 %
The probability of choosing a face card is equal to 313 or about 23.1 %.