Out of 55 teenagers enrolled in dance classes, 30 teenagers take either hip-hop or jazz classes. There are 13 teenagers who take hip-hop classes and 24 teenagers who take jazz classes. What is the probability that a randomly selected teenager takes both hip-hop and jazz classes? Express your first answer as a fraction in simplest form, and round your percent answer to the nearest tenth.The probability that a randomly selected teenager takes both hip hop and jazz classes is , or about %.Skip to navigationPrevious11, Unattempted.12, Unattempted.13, Fully Attempted.14, Fully Attempted.15, Fully Attempted.16, Unattempted.17, Unattempted. Flagged18, Unattempted.19, Unattempted.20, Unattempted.Next
Question
Out of 55 teenagers enrolled in dance classes, 30 teenagers take either hip-hop or jazz classes. There are 13 teenagers who take hip-hop classes and 24 teenagers who take jazz classes. What is the probability that a randomly selected teenager takes both hip-hop and jazz classes? Express your first answer as a fraction in simplest form, and round your percent answer to the nearest tenth.The probability that a randomly selected teenager takes both hip hop and jazz classes is , or about %.Skip to navigationPrevious11, Unattempted.12, Unattempted.13, Fully Attempted.14, Fully Attempted.15, Fully Attempted.16, Unattempted.17, Unattempted. Flagged18, Unattempted.19, Unattempted.20, Unattempted.Next
Solution
The question seems to be incomplete. However, based on the information given, we can find the number of teenagers who take both hip-hop and jazz classes using the principle of inclusion and exclusion.
The principle of inclusion and exclusion states that for any two sets, the size of the union of the two sets is the sum of the sizes of the two sets, minus the size of their intersection.
In this case, the two sets are the set of teenagers who take hip-hop classes and the set of teenagers who take jazz classes.
The size of the union of the two sets is the number of teenagers who take either hip-hop or jazz classes, which is 30.
The sizes of the two sets are 13 and 24, respectively.
So, the size of the intersection of the two sets, which is the number of teenagers who take both hip-hop and jazz classes, is 13 + 24 - 30 = 7.
Therefore, the probability that a randomly selected teenager takes both hip-hop and jazz classes is 7 out of 55, or 7/55.
To express this as a percentage, we divide 7 by 55 and multiply by 100, which gives approximately 12.7%.
So, the probability that a randomly selected teenager takes both hip-hop and jazz classes is 7/55, or about 12.7%.
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