Question

An experiment consist of spinning the spinner below.What is the THEORETICAL probability of spinning a red?Thomas spun the spinner 10 times. He recorded his results in the table below. What was his EXPERIMENTAL probability of spinning red?ColorFrequencyBlue 2Green 3Red 4Yellow 1 (This question has two parts. First, find the THEORETICAL probability of spinning a red on the spinner. Then, use the chart to find the EXPERIMENTAL probability that he spun red.) A) Theoretical Probability = 5/12Experimental Probability = 2/5B) Theoretical Probability =5/12Experimental Probability = 5/12C) Theoretical Probability = 2/5Experimental Probability = 2/5D) Theoretical Probability = 2/5Experimental Probability = 5/12

Answer 1

Okay, here we have this:

Considering the provided information, we are going find the THEORETICAL and EXPERIMENTAL probability of spinning a red on the spinner. So, we obtain the following:

Theoretical probability:

In this case we will work with the following formula

Probability of spinning a red on the spinner=Favorable cases / Possible cases

And considering that in the graph there are 5 red sections and 12 sections in total, then we have:

Probability of spinning a red on the spinner=5/12 (Theoretical)

Experimental probability:

For this case we will use the results of the experiment, so we use the favorable results and the total number of results, then:

Probability of spinning a red on the spinner=Favorable Results / Total results

Replacing:

Probability of spinning a red on the spinner=4/10=2/5

Finally we obtain the following results:

Theoretical Probability = 5/12

Experimental Probability = 2/5

Then the correct answer is the option A.