Math  /  Data & Statistics

QuestionQUESTION 3 Figure 2 shows two representations of a cube: - A 2D figure (the net) that lays out all the faces of the cube flat on a surface. - A 3D cube that shows all its faces at once.
The faces of the cube are labelled with the numbers 3,4,5,6,73,4,5,6,7, and 8 , use figure 2 to answer the following probability questions: \begin{tabular}{|c|c|c|} \hline & 8 & \\ \hline 3 & 4 & 5 \\ \hline & 7 & \\ \hline & 6 & \\ \hline \end{tabular}
Figure 2: Two representations of a cube 3.1 Consider rolling the cube once. What are the possible outcomes (sample space) when you roll the cube once? (6) 3.2 If the cube is rolled once, what is the theoretical probability that it lands on the: 3.2.1 face labelled 4? \qquad 3.2.2 face labelled with an even number. \qquad 3.2.3 face labelled 1? \qquad 3.3 What is the probability that the cube does not land on the face labelled 8 when rolled once?
Page 5 of 7 CONFIDENTIAL MIP2602 Oct/Nov 2024 3.4 Suppose you roll the cube 15 times. Record your results on the table below. \begin{tabular}{|l|l|l|l|l|} \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline & & & & \\ \hline \end{tabular}

Studdy Solution
Discuss the recording of results for multiple rolls. When rolling the cube 15 times, record each outcome in a table. This step involves experimentation and data collection, which is not calculated but observed.
Theoretical probabilities are calculated as follows: - Probability of landing on face labeled 4: 16\frac{1}{6} - Probability of landing on an even-numbered face: 12\frac{1}{2} - Probability of landing on face labeled 1: 00 - Probability of not landing on face labeled 8: 56\frac{5}{6}

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