Solution(s): {(3, 6), (6, 3), (4, 5), (5, 4)} What is the probability that the sum of two die rolled will be 9? Comment(s): Students should remember that probabilities are the number of desired outcomes divided by the size of the sample space. These terms should be reviewed. Solution(s): 4/36 = 1/9 Using your lattice, determine the probability of having at least one of the two dice show an odd number. Comment(s): Students may simply get this incorrect by miscounting to 27. Solution(s): 27/36 = 3/4 The different outcomes that determine the probability of rolling odd can be visualized using a Venn Diagram, the beginning of which is seen below. Each circle represents the possible ways that each die can land on an odd number. Circle A is for the first die landing on an odd number and circle B for the second die landing on odd. The circles overlap because some rolls of the two dice are successes for both dice. In each circle, the overlap, and the area outside the circles, one of the ordered pairs from the lattice has been placed. appears in circle A because the first die is odd, appears in circle B because the second die is odd, appears in both circles at the same time (the overlap) because each die is odd, andappears outside of the circles because neither dice is odd. Finish the Venn Diagram by placing the remaining 32 ordered pairs from the dice lattice in the appropriate place.
Solution(s): {(3, 6), (6, 3), (4, 5), (5, 4)} What is the probability that the sum of two die rolled will be 9? Comment(s): Students should remember that probabilities are the number of desired outcomes divided by the size of the sample space. These terms should be reviewed. Solution(s): 4/36 = 1/9 Using your lattice, determine the probability of having at least one of the two dice show an odd number. Comment(s): Students may simply get this incorrect by miscounting to 27. Solution(s): 27/36 = 3/4 The different outcomes that determine the probability of rolling odd can be visualized using a Venn Diagram, the beginning of which is seen below. Each circle represents the possible ways that each die can land on an odd number. Circle A is for the first die landing on an odd number and circle B for the second die landing on odd. The circles overlap because some rolls of the two dice are successes for both dice. In each circle, the overlap, and the area outside the circles, one of the ordered pairs from the lattice has been placed. appears in circle A because the first die is odd, appears in circle B because the second die is odd, appears in both circles at the same time (the overlap) because each die is odd, andappears outside of the circles because neither dice is odd. Finish the Venn Diagram by placing the remaining 32 ordered pairs from the dice lattice in the appropriate place.
Acc.Geo.Unit%204%20-%20How%20Odd%20Task.docx