Question

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

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

(A) List the possible outcomes that you can see in the spinner,
(B) Compute the probability of each outcomes and
(C) Find the ratio of each outcome to the total number of times that the spinner spun (use the table)

Answer 1

Hint: Probability is defined as the favorable outcomes in the total outcomes.

Complete Step by Step Solution:
(a) From the given question, there are five color outcomes present. So the possible outcomes are 5.
They are orange, red, purple, yellow and green. Here all the five color outcomes occupy the same area in the pinned. Then, they are equally likely.
(b) Compute the probability of each outcome
The probability of each event. P(yellow)=Favorable outcome of yellow$/$Total no. of possible outcomes
${P_{yellow}} = \dfrac{1}{5}$ $ = 0.2$
Similarly, P(Orange), P(Red), P(Purple), P(Green) is also $\dfrac{1}{5}$ or $0.2$
(c) The ratio of each outcome to the total no. of times that the spinner spun (using the table).
From the given experiment the frequency was recorded in the table.
So, the ratio of yellow=No of outcomes of yellow in the above experimentNo. of times the spinner was spun
Ratio of yellow$ = \dfrac{{206}}{{1000}} = 0.206$
Similarly, as all the columns.
Ratio of red$ = \dfrac{{105}}{{1000}} = 0.105$
Ratio of orange$ = \dfrac{{195}}{{1000}} = 0.195$
Ratio of purple$ = \dfrac{{210}}{{1000}} = 0.21$
Ratio of green$ = \dfrac{{204}}{{1000}} = 0.204$

Note: Experimental probability is found by repeating on experiment and observing the outcomes.