Exercise 26 Page 914

When calculating probability, we are comparing the number of favorable outcomes to the number of possible outcomes. To calculate the probability that a randomly chosen nut is a cashew we will use the Probability Formula. P=Favorable Outcomes/Possible OutcomesIn the jar, there is a total of 150 peanuts and 60 cashews. The sum of these values is the number of possible outcomes. 150+60= 210 nuts Out of these, 60 are cashews, which is the number of favorable outcomes. Now we have enough information to calculate P(Cashew).

P=Favorable Outcomes/Possible Outcomes

SubstituteValues

Substitute values

P(Cashew)=60/210

ReduceFrac

a/b=.a /30./.b /30.

P(Cashew)=2/7

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Write as a decimal

UseCalc

Use a calculator

P(Cashew)=0.285714...

RoundDec

Round to 2 decimal place(s)

P(Cashew)≈0.29

The probability of choosing a cashew from the jar is equal to 27 or about 0.29. This result corresponds to choice B.