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.\n\n| |athletics|the arts|\n|--|--|--|\n|math|1|2|\n|literature|3|4|\n\nwhat is the probability that a randomly selected student prefers math or prefers athletics?\nsimplify any fractions.

to get to know her students better, ms. alexander surveyed her math students to determine what hobbies and school subjects they prefer.\n\n| |athletics|the arts|\n|--|--|--|\n|math|1|2|\n|literature|3|4|\n\nwhat is the probability that a randomly selected student prefers math or prefers athletics?\nsimplify 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: $1 + 2=3$. Number of students who prefer athletics: $1+3 = 4$. But the student who prefers both math and athletics is counted twice. So 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:

$\frac{3}{5}$