Answer all the questions below and press submit to see how many you got right.
Expected number : The expected number of $n$ repetitions of a random experiment that is described by a random variable $X$ is defined as $n\cdot E[X].$
Number : A number $x$ is a mathematical symbol representing a quantity.
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.
You throw a dice 1800 times. What is the expected number of times that you get a 6?
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.
Half : A Half is the number equal to $\frac{1}{2}=0.5.$
Possible outcome : Any outcome of a random experiment.
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 a thrown coin lands on heads? (Answer as a simplified fraction a/b.)
Area : The amount of unit squares that is needed to cover a 2-dimensional shape.
Centimeter : A centimeter ($cm$) is $\frac{1}{100}$ of a meter.
Circle : A circle is a two-dimensional shape. The boundary of a circle is a set of points that has the same distance (the radius) from the center of the circle.
Pi : Pi or $\pi$ is an irrational number approximately equal to 3.14 that is defined as the quotient of the circumference and the diameter of a circle.
Radius : In a circle or sphere the radius is the distance between the center and the boundary.
Square centimeter : Square centimeter or $cm^2$ is a unit of measurement for measuring area. 1 square centimeter is the area of a square with side length 1 $cm,$ so 10,000 $cm^2$ are one $m^2.$
What is the area in square cm of a circle with radius $r=1 cm$? Approximate $\pi$ by 3 in the calculation.