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

question 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 or completed the homework? passed the test failed the test completed the homework 10 5 did not complete the homework 3 4

question 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 or completed the homework? passed the test failed the test completed the homework 10 5 did not complete the homework 3 4

Answer

Explanation:

Step1: Calculate total number of students

$10 + 5+3 + 4=22$

Step2: Calculate number of students who passed or completed homework

Number of students who passed the test: $10 + 3=13$ Number of students who completed homework: $10 + 5 = 15$ Number of students who passed and completed homework: $10$ Using the formula $P(A\cup B)=P(A)+P(B)-P(A\cap B)$, the number of students who passed or completed homework is $13+15 - 10=18$

Step3: Calculate the probability

Probability $P=\frac{18}{22}=\frac{9}{11}$

Answer:

$\frac{9}{11}$