the central high school students voted to select a school mascot. the results of the vote are recorded in…

the central high school students voted to select a school mascot. the results of the vote are recorded in the table. what is the probability that a randomly selected senior voted for an eagle mascot?\n| class | falcon | eagle | total |\n| ---- | ---- | ---- | ---- |\n| freshman | 155 | 90 | 245 |\n| sophomore | 160 | 65 | 225 |\n| junior | 100 | 130 | 230 |\n| senior | 165 | 55 | 220 |\n| total | 580 | 340 | 920 |\na $\frac{11}{184}$ b $\frac{1}{3}$ c $\frac{1}{4}$ d $\frac{11}{57}$

the central high school students voted to select a school mascot. the results of the vote are recorded in the table. what is the probability that a randomly selected senior voted for an eagle mascot?\n| class | falcon | eagle | total |\n| ---- | ---- | ---- | ---- |\n| freshman | 155 | 90 | 245 |\n| sophomore | 160 | 65 | 225 |\n| junior | 100 | 130 | 230 |\n| senior | 165 | 55 | 220 |\n| total | 580 | 340 | 920 |\na $\frac{11}{184}$ b $\frac{1}{3}$ c $\frac{1}{4}$ d $\frac{11}{57}$

Answer

Explanation:

Step1: Identify relevant values

The number of seniors who voted for an eagle is 55, and the total number of seniors is 220.

Step2: Calculate probability

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P = \frac{55}{220}$.

Step3: Simplify the fraction

$\frac{55}{220}=\frac{55\div55}{220\div55}=\frac{1}{4}$.

Answer:

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