in a class of students, the following data table summarizes how many students passed a test and complete the…

in a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. what is the probability that a student chosen randomly from the class passed the test and completed the homework? passed the test failed the test completed the homework 15 2 did not complete the homework 3 4

in a class of students, the following data table summarizes how many students passed a test and complete the homework due the day of the test. what is the probability that a student chosen randomly from the class passed the test and completed the homework? passed the test failed the test completed the homework 15 2 did not complete the homework 3 4

Answer

Explanation:

Step1: Find total number of students

Add all values in the table: $15 + 2+3 + 4=24$.

Step2: Identify number of students who passed and completed

The number of students who passed the test and completed the homework is 15.

Step3: Calculate probability

Probability = $\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$, so $P=\frac{15}{24}=\frac{5}{8}$.

Answer:

$\frac{5}{8}$