Experimental Probability Lesson

​ (a)   probability is what should happen in an experiment.​ (b)   probability is what actually happens after many trials of an experiment.

#10 part a

What is the theoretical probability of spinning a shaded letter?

#10 part B

What is the experimental probability of spinning a shaded letter?

Step 1: Note A, B, C, G, F, E are the shaded letters

Step 2: Locate them in the table and add up their frequencies:

5 + 12 + 10 +​ (a)   +​ (b)   +​ (c)   =​

​ (d)  

#10 part B Continued

The sum of the all the frequencies for the shaded letters was ​ ​ (a)   . Next, the text above the table, to see that the spinner was spun ​ (b)   times. Now, put $$\frac{60}{75}$$ in your calculator and reduce it to find a final answer of ​ (c)   /​ (d)  

#12 part a

First, recall vowel are A, E, I, O, and U.

How many of them appear in the word RHOMBUS?​ (a)  

How many letters are in the word RHOMBUS?​ ​ (b)  

So the probability of a vowel is ​ (c)   /​ (d)  

Next we, set up the problem

$$\frac{2}{7}=\frac{x}{500}$$

Then cross multiply

7x = 2 * 500

7x = ​ (e)  

Divide both sides by 7 to get x = 143 (rounded)

#12 part B

In part A, you determined that the vowels were O and U. Locate them in the table and add up their frequencies:

6 + 18 =​ (a)   .

Read the text above the table, how many times was a letter selected? ​ (b)  

Now we set up the problem:

$$\frac{24}{80}=\frac{x}{500}$$

cross multiply

​ (c)   =​ (d)  

divide both sides by 80

x = ​ (e)  

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