Question

Mrs. Ross the couselor, is helping plan a field at her middle school and is trying to decide what yard games to buy. She randomly surveyed 80 students at lunchtime anf asked about the yard game each one preferref. The results of the survey are shown in the table. Bean bag toss 14 checkers 16 connect 4 28 jenga 14 tic tac toe 8, based on the results in the table, which statement is true? A a student is more likely to prefer tic tac toe or connect 4 than checker or jenga. B a student is four times as likely to prefer connect 4 as tic tac toe. C a student is twice as likely to prefer tic tac toe as checkers. D a student is less likely to prefer checkers or bean bag toss than jenga or tic tac toe.

Answer 1

To determine which statement is true, we need to compare the number of students who prefer each game relative to the total number of students surveyed.

The total number of students surveyed is:

14 + 16 + 28 + 14 + 8 = 80

A) To find the probability of a student preferring tic tac toe or connect 4 versus checker or jenga, we add the number of students who prefer tic tac toe or connect 4:

28 + 8 = 36

And add the number of students who prefer checker or jenga:

14 + 16 + 14 = 44

Therefore, statement A is false.

B) To find the probability of a student preferring connect 4 versus tic tac toe, we divide the number of students who prefer connect 4 by the number of students who prefer tic tac toe:

28/8 = 3.5

Therefore, statement B is false.

C) To find the probability of a student preferring tic tac toe versus checkers, we divide the number of students who prefer tic tac toe by the number of students who prefer checkers:

8/16 = 0.5

Therefore, statement C is true.

D) To find the probability of a student preferring jenga or tic tac toe versus checkers or bean bag toss, we add the number of students who prefer jenga or tic tac toe:

28 + 8 = 36

And add the number of students who prefer checkers or bean bag toss:

14 + 16 = 30

Therefore, statement D is true.

Therefore, the correct answer is option D: a student is less likely to prefer checkers or bean bag toss than jenga or tic tac toe.