Core Connections Geometry, 2013
CC
Core Connections Geometry, 2013 View details
2. Section 3.2
Continue to next subchapter

Exercise 110 Page 196

Practice makes perfect
a Probability is calculated by dividing the number of favorable outcomes by the number of possible outcomes.
P=Number of favorable outcomes/Number of possible outcomes We know that the probability of getting a stuffed giraffe is 25. We also know that the number of giraffes is 28. With this information we can calculate the number of animals x in the bin.
P=Number of favorable outcomes/Number of possible outcomes
2/5=28/x
â–Ľ
Solve for x
2/5x=28
2x=140
x=70
There are 70 stuffed animals in the bin.
b To calculate the probability of getting a sea animal we have to find the number of animals and the number of sea animals in the bin.
Animals:& 22+8+ 13+15+ 17= 75 Sea animals:& 13+ 17=30 Now we can calculate the probability of picking a sea animal.
P=Number of favorable outcomes/Number of possible outcomes
P=30/75
P=2/5
The probability of getting a sea animal is 25.
c We know that the desired probability of picking an alligator should be 5 % , and that the number of alligators in the bin is 3. To obtain a 5 % probability, which can be written as 0.05, we need to have enough stuffed animals in the bin of another sort. If we call the number of other animals x, we can write an equation.
0.05=3/x+3 Let's solve this equation.
0.05=3/x+3
â–Ľ
Solve for x
0.05(x+3)=3
0.05x+0.15=3
0.05x=2.85
x=57
There needs to be 57 other stuffed animals for a total of 57+3=60 animals in the bin if the probability of picking an alligator should be kept at 5 %.