Using the probability concept, it is found that:
a) 41.67% of the total students surveyed like both Volleyball and Tennis.
b) There is a 0.1667 = 16.67% probability that a student who does like
Volleyball does not like Tennis.
What is a probability?
A probability is given by the number of desired outcomes divided by the number of total outcomes.
Item a:
There is a total of 70 + 50 = 120 students, and x + 20 = 70 -> x = 50 like both sports, hence:
p = 50/120 = 0.4167.
41.67% of the total students surveyed like both Volleyball and Tennis.
Item b:
60 students like voleyball, and of those, 10 do not like tennis, hence:
p = 10/60 = 0.1667 = 16.67%.
There is a 0.1667 = 16.67% probability that a student who does like
Volleyball does not like Tennis.
More can be learned about the probability concept at https://brainly.com/question/14398287
