a sociology teacher asked her students to com...
a sociology teacher asked her students to complete a survey at the beginning of the year. one survey question asked, \do you consider yourself responsible?\ another question asked, \how many siblings do you have?\ irresponsible responsible 0 siblings 3 2 1 or more siblings 2 4 what is the probability that a randomly selected student is irresponsible or does not have 0 siblings? simplify any fractions.
Answer
# Explanation:
## Step1: Calculate total number of students
$3 + 2+2 + 4=11$
## Step2: Calculate number of students who are irresponsible
$3 + 2 = 5$
## Step3: Calculate number of students who do not have 0 siblings
$2+4 = 6$
## Step4: Calculate number of students who are irresponsible and do not have 0 siblings
$2$
## Step5: Use the addition - rule of probability
$P(A\cup B)=P(A)+P(B)-P(A\cap B)$
$P(\text{irresponsible or not 0 siblings})=\frac{5 + 6-2}{11}=\frac{9}{11}$
# Answer:
$\frac{9}{11}$