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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 5 Page 929

The sum of the probability of an event and the probability of its complement is 1.

8/10 or 80 %

Practice makes perfect

We know that there is a 2 in 10 chance of bowling a spare.

We want to find the probability of missing the spare. Note that this is the complement of bowling a spare. The sum of the probability of an event and the probability of its complement is 1. P(Event)+P(Not event)=1 The experimental probability of bowling a spare is 210. Let's now find the probability of its complement, which is not bowling a spare.

P(Spare)+P(Not a spare)=1

P(Spare)= 2/10

2/10+P(Not a spare)=1

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Solve for P(Not a spare)

LHS-2/10=RHS-2/10

P(Not a spare)=1-2/10

Rewrite 1 as 10/10

P(Not a spare)=10/10-2/10

Subtract fractions

P(Not a spare)=8/10

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Convert to percent

Write as a decimal

P(Not a spare)=0.8

Convert to percent

P(Not a spare)=80 %

The probability of missing the spare is equal to 810, which can be also written as 80 %.

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Exercises p.929-931