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Explore sample spaces, probability calculations, independence of events, two-way frequency tables, and counting principles in mathematics. Practice skills in determining outcomes, calculating probabilities, and understanding dependencies in various scenarios.
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Jeopardy 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500
Sample Space & Probability for 100 List the elements of the sample space in set notation: What is {Red, White, Grey)? Push the Space Bar to check your answer.
Sample Space & Probability for 200 Which of the following is not a valid value for probability? a) 0.4 b) 99% c) 7/3 d) 0 What is C? Push the Space Bar to check your answer.
Sample Space & Probability for 300 • Determine if the event is: • Impossible, • Unlikely, • Equally Likely, • Likely, • or • Certain to Happen. Selecting a spade from a deck of cards. What is Unlikely? Push the Space Bar to check your answer.
Sample Space & Probability for 400 Given a bag of marbles, what is the: P(Black)=____ P(White)=____ P(Swirl)=____ What is 2/5, 2/5, and 1/5? Push the Space Bar to check your answer.
Sample Space & Probability for 500 Given the Universal set, set U= {1,2,3,4,5,6,7,8,9,10} Set M = multiples of 3 Set N = numbers less than 7 What is the P(M|N)? ______ What is 2/3? Push the Space Bar to check your answer.
Independence for 100 Determine if the two events are independent or dependent of each other? Event #1: Picking a Blue Marble Event #2: Rolling a 3 What is Independent ? Push the Space Bar to check your answer.
Independence for 200 If A and B are independent and P(A)=0.4 P(B)=0.5 What is P(A∩B)? What is 0.2? Push the Space Bar to check your answer.
Independence for 300 Write down IN FULL the two possible tests for independence: What is P(A)*P(B)=P(A∩B) and P(A|B)=P(A)? Push the Space Bar to check your answer.
Independence for 400 Determine if the following events are independent or dependent. What is Independent? Push the Space Bar to check your answer.
Independence for 500 P(A∩B) = 0.25 P(A) = 0.4 P(B) = 0.5 P(B|A) = ______ Are they independent? What is = = and NO (dependent)? Push the Space Bar to check your answer.
Two Way Frequency Tables for 100 62 people were interviewed about whether they had an iPhone and iPad. 30 had an iPhone but not an iPad, 12 had neither, and 14 had both. What is ? Push the Space Bar to check your answer.
Two Way Frequency Tables for 200 The boys and girls of a class were surveyed about whether they like to swim or ski. The two way table shows the results of the survey. How many students in the class? _____ How many boys in the class? _____ How many students like to ski? _____ How many girls don’t like to swim? _____ What is 28, 16, 15, and 5? Push the Space Bar to check your answer.
Two Way Frequency Tables for 300 The following relative frequency table was created from the data gathered from a survey about favorite colors. What is the P(Blue)? _____ What is the P(Male ∩ Green)? _____ What is the P(Female ∩Redc)? _____ What is 0.24, 0.14, and 0.28 ? Push the Space Bar to check your answer.
Two Way Frequency Tables for 400 The class had been surveyed about who had been to Canada, Europe, or both. The two way frequency table shows the results of the survey. What is the P(Canada U Europe)? What is 27/34? Push the Space Bar to check your answer.
Two Way Frequency Tables for 500 Boys and Girls in a class were surveyed about whether they Pizza, Burgers, or both. The results are in the table. What is the P(Girl|Burger)? What is the P(Burger|Girl)? What is 10/12 & 10/18? Push the Space Bar to check your answer.
Counting Principles for 100 Use the FCP to determine the sample space size: To get to her class from outside the school there are 5 different doors to enter and then 2 different staircases to use. What is 10? Push the Space Bar to check your answer.
Counting Principles for 200 A police lineup of 5 suspects is being created. How many different ways can you arrange these 5 people? What is 5P5=5!=120? Push the Space Bar to check your answer.
Counting Principles for 300 10 Standbys are hoping to get on a plane. If there is room for only 4 to make it on the flight. How many different groups of 4 could be formed? What is 10C4=210? Push the Space Bar to check your answer.
Counting Principles for 400 What is the formula for Permutations? What is the formula for Combinations? What is &? Push the Space Bar to check your answer.
Counting Principles for 500 There are 10 men and 8 women in a class. The teacher wants to make a group of 2 men and 3 women to do a presentation on probability. How many possible arrangements could there be? What is 10C2*8C3 = 45*56 = 2,520 ? Push the Space Bar to check your answer.
A Little Bit of Everything for 100 P (AUB) = 0.7 P(B ∩Ac) = 0.2 P(A) = _________ What is 0.5? Push the Space Bar to check your answer.
A Little Bit of Everything for 200 The sample space is the natural numbers less than 11. Set A = even numbers Set B = Factors of 16 What is Set A ∩ Set B? _____ What is {2,4,8}? Push the Space Bar to check your answer.
A Little Bit of Everything for 300 Draw a Venn Diagrams of 2 intersecting sets. Shade (A U B)c What is ? Push the Space Bar to check your answer.
A Little Bit of Everything for 400 Consider a standard deck of cards. Number Cards = 2-10 1. P(8 | Number Card)= ______ 2. What is the probability of picking a 5 and then a Queen without replacement? ________ What is 1/9 & (1/13)*(4/51) = 4/663? Push the Space Bar to check your answer.
A Little Bit of Everything for 500 If there are 8 students to present their projects in class. Student A insists on going first and Student B insists on going second. If the teacher allows student A & B to go 1st & 2nd, how many different ways are there to organize the order of the other students? What is 6!=720 ? Push the Space Bar to check your answer.
