Discrete Math Released Test Items

The graph below displays a relationship between 7 locations.  Can an Euler path be drawn for this graph?

• no, because there are exactly 2 vertices with an odd degree 
• no, because each vertex is of an even degree 
• yes, because there are exactly 2 vertices with an odd degree 
• yes, because each vertex is of an even degree 

Thirteen members of the chess club have voted to determine who the new president will be. The table below shows the preference schedule for the four candidates. The winner of the election will be determined using the plurality method. Kevin had decided to drop out of the election before the votes were counted. What effect, if any, will this have on the results of the election?

• There will be no effect on the result of the election. 
• Maria was in the lead before Kevin dropped out, but Latesha will win once he has dropped out. 
• Latesha was in the lead before Kevin dropped out, but Maria will win once he has dropped out. 
• Kevin was in the lead before he dropped out, but Jeff will win once Kevin has dropped out. 

Suppose Caleb has an overall probability of  1/10 of winning at a game of chance each time he plays. What is the approximate probability that Caleb will win the game at least once if he plays it 10 times?

• 0.61 
• 0.65 
• 0.90
• 0.96

A school is selecting new members for a council.  How many unique groupings of new members can the school make to fill the spots?

• 413
• 160,986 
• 31,116,960
• 2,333,606,220 

A spinner is divided into 12 sections that are each equally likely to occur. The sections are lettered from A to L. Philip will spin the spinner 3 times. What is the probability that the spinner will land on the letter G exactly 1 out of the 3 times?

• 121/5,184
• 121/1,728
• 121/576
• 121/288

Tags

CCSS.HSS.MD.B.6

CCSS.HSS.MD.B.7

What is the critical path for the diagram below?

• START-A-B-C-E-H-J-FINISH
• START-A-B-C-E-J-FINISH 
• START-A-B-D-F-I-J-FINISH
• START-A-B-D-G-J-FINISH