Core Connections Geometry, 2013
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Core Connections Geometry, 2013 View details
2. Section 10.2
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Exercise 67 Page 611

Practice makes perfect
a Probability is calculated by dividing the number of sides with a favorable outcome by the total number of possible outcomes.

P=Number of favorable outcomes/Number of possible outcomes A die has six sides. From the net, we see that one side is even and three sides show a 1. With this information we can determine the probabilities. P(even)=1/6 and P(1)=3/6=1/2

b In Part A we calculated the probability of getting an even side as 16. To calculate the probability of getting an odd side we can find the complement of P(even).
p(odd)=1-p(even)
p(odd)=1- 1/6
p(odd)=6/6-1/6
p(odd)=5/6
The probability of rolling an odd number is 56. If we roll the dice 60 times, the number of times the dice shows an odd number will be the product of the probability and the number of rolls. 5/6(60)=50
c Assuming that the die has 6 sides, we know the following information about the die.
  • P(even)= 13: This tells us that one third, or two of six, of all sides are even.
  • P(3)=0: If the probability of rolling a 3 is 0, there are no sides that have a zero.
  • P(a number less than 5)=1: If the probability of rolling a number less than 5 is 1, all sides are either 4 or less.

With this information we can draw an example of a net that satisfies the three conditions.