Question

experimental probability - write the probability as a percent (round to the nearest whole number)
use the circle graph to answer 6 and 7

1. what will be the size of the sample space when calculating the probability?
2. based this data, what is the probability that the next fish caught will be:

a trout a bass
not a perch

Explanation:

Step1: Calculate the sample space

The sample space is the total number of fish caught. Add the number of each type of fish: \(32 + 7+15 + 26\).

$$32+7 + 15+26=(32 + 7)+(15 + 26)=39+41 = 80$$

Step2: Calculate the probability of catching a trout

The formula for probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Sample space}}\). For trout, the number of favorable outcomes is \(32\). So \(P(\text{trout})=\frac{32}{80}\).

$$P(\text{trout})=\frac{32}{80}=0.4 = 40\%$$

Step3: Calculate the probability of catching a bass

For bass, the number of favorable outcomes is \(7\). So \(P(\text{bass})=\frac{7}{80}\).

$$P(\text{bass})=\frac{7}{80}=0.0875\approx8.8\%$$

Step4: Calculate the probability of not catching a perch

The number of perch is \(15\). The number of non - perch fish is \(80 - 15=65\). So \(P(\text{not perch})=\frac{65}{80}\).

$$P(\text{not perch})=\frac{65}{80}=0.8125 = 81.25\%$$

Answer:

1. The size of the sample space is \(80\).

7.

• Probability of catching a trout: \(40\%\)
• Probability of catching a bass: \(9\%\) (rounded to the nearest whole number)
• Probability of not catching a perch: \(81\%\) (rounded to the nearest whole number)