Answer all the questions below and press submit to see how many you got right.
Digit : A digit is a symbol used in the representation of a number.
Number : A number $x$ is a mathematical symbol representing a quantity.
How many different 4-digit numbers can be formed from the digits 1 and 2 if each digit can be used once, several times or not at all?
Maximum : The maximum of a set of numbers is the highest of the numbers in the set. A function has a maximum at $x_0$ if $f(x_0)\geq f(x)$ for all $x.$
Possible : Possible means having a probability bigger than zero.
Solution : A solution to an equation is a choice of variables that when substituted into the equation results in a true statement.
Square : A square is a quadrilateral with four right angles and four equal length sides. A square is a special case of a rectangle and a special case of a rhombus.
Starting on A1 what is the maximum number of squares on a regular chess board that a knight can move to sequentially without visiting any field twice?
Division : Division is the mathematical operation that divides objects equally into groups. More generally $x\div y$ is defined as the number that if multiplied by $y$ equals $x.$
Favorable outcome : In a random experiment the favorable outcomes are the outcomes of the event of which we want to calculate the probability. For example if we want to calculate the probability of throwing an even number with a dice the favorable outcomes are 2, 4 and 6.
One eighth : One eighth is the number $\frac{1}{8}=0.125.$
Possible outcome : Any outcome of a random experiment.
Probability : A probability is a number between 0 and 1 that describes how likely an outcome is. For discrete events that are equally likely the probability can be calculated by dividing the number of favorable outcomes by the number of possible outcomes.
Reduced fraction : A reduced fraction (or simplified fraction or fraction in simplified form or fraction in simplest form) is a fraction $\frac{a}{b}$ such that $a$ and $b$ do not have any common factors bigger than 1. For example the reduced fraction of the fraction $\frac{4}{6}$ is $\frac{2}{3}.$
What is the probability that three thrown coins all land on heads? (Answer as a simplified fraction a/b.)