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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

6. Probabilities of Mutually Exclusive Events

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Exercise 23 Page 930

Use the Probability Formula.

1/13 or 7.7 %

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 DoneThis is very similar to the Probability Formula. In a standard deck of cards, there are 52 cards. This is also the number of times the experiment is done.

Out of 52 cards, 4 have a four on them, which is also the number of times the event occurs. Now we have enough information to calculate P(4).

P=Times the Event Occurs/Times the Experiment Is Done

SubstituteValues

Substitute values

P(4)=4/52

a/b=.a /4./.b /4.

P(4)=1/13

▼

Convert to percent

Calculate quotient

P(4)=0.076923...

Round to 3 decimal place(s)

P(4)≈0.077

Convert to percent

P(4)≈7.7 %

The probability of choosing a card number 4 is equal to 113 or about 7.7 %.

Subchapter links

Exercises p.929-931