Question

The spinner below shows 10 equally sized slices. Keisha spun the dial 20 times and got the following results.

Answer 1

• (a)0.6

,

• (b)0.4

,

• (c)Option 1

Explanation:

Part A

Using the values in the table, the experimental probability of landing on grey:

`\begin{gathered} P(grey)=(12)/(20) \\ =(3*4)/(5*4) \\ =(3)/(5) \\ =0.6 \end{gathered}`

The experimental probability of landing on grey is 0.6.

Part B

In the spinner, 4 parts out of 10 are colored grey.

Assuming the spinner is fair, the theoretical probability of landing on grey:

`\begin{gathered} P(Grey)=(4)/(10) \\ =0.4 \end{gathered}`

Part C

Assuming that the spinner is fair, as the number of spins increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal.