Question

A spinner was spun $1000$ times and the frequency of outcomes was recorded as in given table:

Outcome	Red	Orange	Purple	Yellow	Gree
Frequency	185	195	210	206	204

Find :

(a) List the possible outcomes that you can see in the spinner,

(b) Compute the probability of each outcome and

(c) Find the ratio of each outcome to the total number of times that the spinner spun (use the table)

Answer 1

(a) The possible outcomes are $5$.

They are red, orange, purple, yellow, green. Here all the five colours occupy same area in the spinner.

They are all equally likely.

(b) Compute the probability of each event.
$P\left(\text{Red}\right)=\frac{\text{Favorable outcomes of red}}{\text{Total number of possible outcomes}}$
$=\frac{1}{5}=0.2$.
Similarly $P\left(\text{Orange}\right),P\left(\text{Purple}\right),P\left(\text{Yellow}\right)$ and $P\left(\text{Green}\right)$ is also $\frac{1}{5}$ or $0.2$.
(c) From the experiment the frequency was recorded in the table
$\text{Ratio for red}=\frac{\text{Number of outcomes of red in the above experiment}}{\text{Number of times the spinner was spun}}$
$=\frac{185}{1000}=0.185$
Similarly, we can find the corresponding ratios for orange, purple, yellow and green are $0.195$, $0.210$, $0.206$ and $0.204$ respectively.