Question
In a class of students, the following data table summarizes how many students have a brother or a sister. What is the probability that a student chosen randomly from the class has a sister? & }(c) Has a brother & Does not have a brother Has a sister & 8 & 4 Does not have a sister & 2 & 6
Answer
4.6
(353 Votes)
Bridget
Expert · Tutor for 3 years
Answer
To find the probability that a student chosen randomly from the class has a sister, we need to look at the total number of students who have a sister and divide that by the total number of students in the class.Step 1: Identify the number of students who have a sister.From the table, we can see that there are 8 students who have both a brother and a sister, and there are 4 students who have a sister but do not have a brother. So, the total number of students who have a sister is
.Step 2: Calculate the total number of students in the class.To find the total number of students, we add up all the numbers in the table:
(students with a brother and a sister)
(students with a sister but no brother)
(students with a brother but no sister)
(students with neither a brother nor a sister)
students in total.Step 3: Calculate the probability.The probability
that a randomly chosen student has a sister is the number of students with a sister divided by the total number of students:
Step 4: Simplify the fraction.The fraction
can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4:
Step 5: Provide the final answer.The probability that a randomly chosen student from the class has a sister is
.