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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
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- Question 1 of 10
##### 1. Question

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.

Experimental probability =

CorrectIncorrect##### Hint

\(\text{Experimental probability } = \dfrac{{\text{favourable outcomes }}}{{\text{total number of trials }}}\)

- Question 2 of 10
##### 2. Question

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

CorrectIncorrect - Question 3 of 10
##### 3. Question

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.

\(a = \) , \(b = \)

CorrectIncorrect - Question 4 of 10
##### 4. Question

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.

\(a = \) , \(b = \)

CorrectIncorrect - Question 5 of 10
##### 5. Question

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.

CorrectIncorrect - Question 6 of 10
##### 6. Question

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.

CorrectIncorrect - Question 7 of 10
##### 7. Question

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

CorrectIncorrect - Question 8 of 10
##### 8. Question

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

CorrectIncorrect - Question 9 of 10
##### 9. Question

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} \)There are scores.

So, the median is the th score.

Thus, the median is .

CorrectIncorrect - Question 10 of 10
##### 10. Question

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} \)List the scores in ascending order.

The upper quartile is .

The lower quartile is .

The interquartile range is .

CorrectIncorrect##### Hint

Interquartile Range = Upper Quartile – Lower Quartile