A six-sided biased die is rolled 20 times and the number appearing uppermost is noted each time. The numbers uppermost on the six-sided die are:

\(4{\rm{ }}1{\rm{ }}6{\rm{ }}3{\rm{ }}5{\rm{ }}1{\rm{ }}4{\rm{ }}6{\rm{ }}3{\rm{ }}2{\rm{ }}5{\rm{ }}1{\rm{ }}6{\rm{ }}5{\rm{ }}2{\rm{ }}4{\rm{ }}2{\rm{ }}3{\rm{ }}5{\rm{ }}2\)

Estimate the experimental probability of rolling a “five” or “six” with this die.

Find the number of elements of the sample space for tossing a coin and choosing a letter from alphabet.

A fair six-sided die is rolled once. The probability of not getting a “five” or “even” is  \(\dfrac{a}{b}\).   Find \(a\) and \(b\),   where \(a\) and \(b\) have no common factors.

A letter is selected from Alphabet. The probability of choosing a letter that is one of ABBA is  \(\dfrac{a}{b}\).   Find \(a\) and \(b\),   where \(a\) and \(b\) have no common factors.

The digits 1, 3, 5, 8 are drawn at random without replacement to form a four-digit number. Find the probability that the number is less than 5000. Answer in decimal form.

Given  \(P\left( A \right) = \dfrac{1}{2}\) and \(P\left( B \right) = \dfrac{1}{3}\),   find  \(P\left( {A\text{ and }B} \right)\),   correcting to one decimal place.

What is the weight of the child who is 3 years old?

Let \(X\) represent the discrete random variable ‘number of fives’ obtained in three dice. Find the largest number for \(X\).

Find the median of the scores.

\( \begin{array}{|c|c|} \hline
Score & Frequency \\ \hline
10 & 5 \\ \hline
20 & 6 \\ \hline
30 & 9 \\ \hline
40 & 2 \\ \hline
\end{array} \)

Find the interquartile range of the data represented in box-and-whisker plot.

\( \begin{array}{c|cccccc}
1 & 4 & 8 &&&& \\
2 & 2 & 6 & 9 &&& \\
3 & 0 & 3 & 4 & 7 & 8 & \\
4 & 1 & 2 & 4 &&& \\
\end{array} \)