a sociology teacher asked her students to complete a survey at the beginning of the year. one survey…

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.

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:

$\frac{9}{11}$