Question

question 14 · 1 point
in a genetics class, 7 students have green eyes, 4 students have blue eyes, and 10 have hazel eyes. if a single student is picked at random, what is the probability that their eyes are blue or hazel?

• provide the final answer as a simplified fraction.

provide your answer below:

Explanation:

Step1: Find total number of students

Total students = Green + Blue + Hazel = \(7 + 4 + 10 = 21\)

Step2: Find number of Blue or Hazel students

Blue or Hazel = Blue + Hazel = \(4 + 10 = 14\)

Step3: Calculate probability

Probability = \(\frac{\text{Blue or Hazel}}{\text{Total}} = \frac{14}{21}\)

Step4: Simplify the fraction

Simplify \(\frac{14}{21}\) by dividing numerator and denominator by 7: \(\frac{14\div7}{21\div7} = \frac{2}{3}\)

Answer:

\(\frac{2}{3}\)