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Year 9 Maths Core Probability

Relative Frequency

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Question 1
59261

Shally has a spinner with coloured sections of equal size. She spins it 180 times.

\begin{array}{|c|c|}
\hline \text { Event } & \text { Frequency } \\
\hline \text { Yellow } & 50 \\
\hline \text { Blue } & 70 \\
\hline \text { Red } & 60 \\
\hline \text { Total }= & 180 \\
\hline
\end{array}

a. Find the experimental probability that the needle points to red
b. Find the experimental probability that the needle points to yellow
c. Find the theoretical probability that the needle points to a red
d. Find the theoretical probability that the needle points to yellow
e. Are the experimental and theoretical probabilities equal?
f. For 180 spins, what is the expected frequency of getting a red or blue based on the theoretical probability?

a) 0.33  b) 0.28  c) \(\dfrac{1}{3}\)  d) \(\dfrac{1}{3}\)   e) No  f) 120

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