Question

(06.05 MC)

A group of students were surveyed to find out if they like bike riding and/or
roller skating as a hobby. The results of the survey are shown below:

80 students like bike riding
20 students like bike riding but do not like skating
90 students like skating
40 students do not like bike riding

Make a two-way table to represent the data and use the table to answer the
following questions.

Part A: What percentage of the total students surveyed like both bike riding and
skating? Show your work.

Part B: What is the probability that a student who does not like bike riding also does not like skating? Explain your answer.

See picture

Answer 1

For part A add up all your students then add up all your students that like bike riding and skating (80+90) divide that by the total number of students who took the survey

For Part B put 20+40 over the toatl number of student then simplify

Explanation:

A. The percentage of the total students surveyed like both bike riding and skating is 73.91%

B. The probability that a student who does not like bike riding also does not like skating is 0.261

Calculation of the percentage & probability:

Since

80 students like bike riding

20 students like bike riding but do not like skating

90 students like skating

40 students do not like bike riding

So,

a. The percentage should be

= 73.91%

b. The probability is

= 0.261