Mrs. Baker’s students write word problems for homework. Each week she selects one student's word problem to display on a bulletin board. Each student's name is placed in a bag from which Mrs. Baker draws a name. What is the probability that an eighth grade student will NOT be selected? There are 9 students and only 3 of them are 8th graders. Explain full process and give the answer as a % or simplified fraction.
To find the probability that an eighth grade student will NOT be selected, we first need to find the total number of students in the bag and then find the number of eighth grade students in the bag.
Total number of students = 9
Number of eighth grade students = 3
Therefore, the number of non-eighth grade students = 9 - 3 = 6
The probability of NOT selecting an eighth grade student = Number of non-eighth grade students / Total number of students
Probability = 6 / 9
Probability = 2 / 3
To convert this to a percentage, we divide the numerator (2) by the denominator (3) and multiply by 100.
Percentage = (2/3) x 100
Percentage = 66.6%
Therefore, the probability that an eighth grade student will NOT be selected is 2/3 or 66.6%.