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QuestionAt a university, 50%50\% of students play intramural volleyball. What is the probability a randomly chosen student participates?

Studdy Solution

STEP 1

Assumptions1. The percentage of students who participate in intramural volleyball is50% . The selection of a student is random

STEP 2

We are asked to find the probability of a student participating or not participating in intramural volleyball. Since the percentage of students who participate is given as50%, the probability of a student participating is simply this percentage converted to a decimal.
(Participation)=50100(\text{Participation}) = \frac{50}{100}

STEP 3

Calculate the probability of a student participating in intramural volleyball.
(Participation)=50100=0.5(\text{Participation}) = \frac{50}{100} =0.5

STEP 4

The probability of a student not participating is the complement of the probability of participation. In other words, it is1 minus the probability of participation.
(Non-participation)=1−(Participation)(\text{Non-participation}) =1 -(\text{Participation})

STEP 5

Plug in the value for the probability of participation to calculate the probability of non-participation.
(Non-participation)=1−0.5(\text{Non-participation}) =1 -0.5

STEP 6

Calculate the probability of a student not participating in intramural volleyball.
(Non-participation)=1−0.5=0.5(\text{Non-participation}) =1 -0.5 =0.5So, the probability that a randomly chosen student will participate in intramural volleyball is0.5, and the probability that a randomly chosen student will not participate in intramural volleyball is also0.5.

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