Question

the table gives the distribution of votes for a new school mascot and grade level for 80 students. table content: mascot vs grade level (sixth, seventh, eighth, total) with values for badger, lion, longhorn, tiger, and total rows if one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion? multiple choice options: a) 1/9, b) 1/5, c) 1/4, d) 2/1

Explanation:

Step1: Identify favorable and total outcomes

Favorable (lion votes): 20 (from table, total for Lion). Total students: 80.

Step2: Calculate probability

Probability = $\frac{\text{Favorable}}{\text{Total}} = \frac{20}{80} = \frac{1}{4}$? Wait, no, wait: Wait, 20 divided by 80 is 1/4? Wait, no, 20/80 simplifies to 1/4? Wait, no, 20÷80=0.25=1/4? Wait, but let's check again. Wait, the total number of students is 80, and the number of students who voted for Lion is 20. So probability is 20/80 = 1/4? Wait, but option B is 1/5, which is 0.2, and 20/80 is 0.25. Wait, maybe I made a mistake. Wait, the table: Lion's total is 20. Total students 80. So 20/80 = 1/4? Wait, but let's check the options. Option C is 1/4, option B is 1/5. Wait, maybe I misread the table. Wait, the table: Lion row, Total column is 20. Total students is 80. So 20/80 = 1/4. So the probability is 1/4. Wait, but let's confirm.

Wait, no, wait: 20 divided by 80 is 0.25, which is 1/4. So the correct answer should be C? Wait, no, wait the options: A is 1/9, B is 1/5 (0.2), C is 1/4 (0.25), D is 2/9. Wait, 20/80 is 1/4, so the answer is C? Wait, but let's check again. The total number of students is 80, number of students who voted for Lion is 20. So probability is 20/80 = 1/4. So the correct option is C? Wait, but maybe I made a mistake. Wait, the table:

Mascot | Sixth | Seventh | Eighth | Total
--- | --- | --- | --- | ---
Badger | 4 | 9 | 9 | 22
Lion | 9 | 2 | 9 | 20
Longhorn | 4 | 6 | 4 | 14
Tiger | 6 | 9 | 9 | 24
Total | 23 | 26 | 31 | 80

Yes, Lion's total is 20. Total students 80. So 20/80 = 1/4. So the probability is 1/4, which is option C. Wait, but earlier I thought maybe 1/5, but no. So the correct answer is C.

Wait, but let's do the calculation again:

Number of favorable outcomes (voted for Lion) = 20.

Total number of possible outcomes (total students) = 80.

Probability = favorable / total = 20 / 80 = 1/4.

So the answer is C.

Answer:

C. $\frac{1}{4}$