Probability
Binomial Expansion
Sets
Locus
Logic Tables
100

The probability of flipping a coin and getting tails

What is 1/2?

100
Expand (x + y)2

What is x2 + 2xy + y2?

100

A ∪ B

What is the union symbol?

100

The locus of points that are a fixed distance from a given point.

What is a circle?
100

Truth table for P∧Q

What is  | P | Q | P ∧ Q |

             | T | T |   T   |   

             | T | F |   F   |  

             | F | T |   F   | 

             | F | F |   F   |

200

The occurrence of one event does not effect the occurrence of another event

What is an independent event?

200

Expand (x + y)3

What is x3 + 3x2y + 3xy2 + y3?

200

A ∩ B

What is the intersection of sets A and B?

200

The locus of points that are equidistant from two given points A and B

What is a perpendicular bisector?

200

Truth table for P —> Q

What is 

| P | Q | P → Q | 

| T | T |   T   | 

| T | F |   F   |

| F | T |   T   |

| F | F |   T   |

300

The probability of drawing an ace or a king

What is 8/52?
300

The coefficient of xin the equation (x + 3)4

What is 54?

300

The intersection of sets 

A = {1, 2, 3} and B = {2, 3, 4}

What is A ∩ B = {2,3}?

300

The locus of points that are equidistant from two intersecting lines

What are angle bisectors?

300

Truth table for (P ∧ Q) → ~P

What is 

| P | Q | P ∧ Q | ~P | (P ∧ Q) → ~P |

| T | T |     T     | F |       F       | 

| T | F |     F     | F |       T       |  

| F | T |     F     | T |       T       |  

| F | F |     F     | T |       T       |  

400

The probability of rolling a 7 with two dice.

What is 6/36?

400

The expansion of (2x − y)3

What is 8x− 12x2y + 6xy− y?

400

The union of sets A = {a, b, c} and B = {b, c, d, e}

What is A ∪ B = {a,b,c,d,e}?

400

The locus of points at a fixed distance from a line segment AB

What are two parallel lines equidistant from segment AB?

400

Truth table for  (P → Q) ∧ ~Q.

What is 

| P | Q | P → Q | ~Q | (P → Q) ∧ ~Q |

| T | T |     T     |  F  |      F       |

| T | F |     F     |  T  |      F       |

| F | T |     T     |  F  |      F       |  

| F | F |     T     |  T  |      T       |

500

There are 5 red marbles, 3 green marbles, and 2 blue marbles. The probability that you select 2 red marbles without replacement.

What is 2/9?

500

Expand (3x − 2y)4

What is 81x− 216x3y + 216x2y− 96xy+ 16y?

500

The complimentary set using

 U = {1, 2, 3, 4, 5} and A = {1, 2}

What is A′ = {3,4,5}?

500

The locus of points that are equidistant from two parallel lines.

What is one parallel line in between the two parallel lines?

500

Truth table for (P ∧ Q) → (P ∨ ~R)

What is 

P  | Q  | R | P ∧ Q | ~R  |P ∨ ~R|(P ∧ Q) → (P ∨ ~R)

T | T |  T |    T    |   F   |    T   |         T

 T | T | F  |    T    |   T   |    T   |         T

 T | F | T  |    F    |   F   |    T   |         T

 T | F | F  |    F    |   T   |    T   |         T

 F | T | T  |    F    |   F   |    F   |         T

 F | T | F  |    F    |   T   |    T   |         T

 F | F | T  |    F    |   F   |    F   |         T

 F | F | F  |   F     |   T   |    T   |         T