to get to know her students better, ms. alexander surveyed her math students to determine what hobbies and…
to get to know her students better, ms. alexander surveyed her math students to determine what hobbies and school subjects they prefer. what is the probability that a randomly selected student prefers math or prefers athletics? simplify any fractions.
Answer
Explanation:
Step1: Calculate total number of students
$1 + 2+3 + 4=10$
Step2: Calculate number of students who prefer math or athletics
Number of students who prefer math is $1 + 2=3$, number of students who prefer athletics is $1+3 = 4$, and number of students who prefer both is 1. Using the inclusion - exclusion principle, number of students who prefer math or athletics is $3 + 4-1=6$.
Step3: Calculate the probability
Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{6}{10}=\frac{3}{5}$
Answer:
$\frac{3}{5}$