At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance. What is the probability that a student who attends the football game also attends the dance?

Question

Mathematics

Dayami Webster

25 May, 01:15

At a school, 43% of students attend the homecoming football game. Only 23% of students go to the game and the homecoming dance. What is the probability that a student who attends the football game also attends the dance?

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Answers (1)

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Mackenzie Archer · Answer 1

0.535

Step-by-step explanation:

Let students that attend homecoming = H

Let students that attend football game = F

Pr (H) = 43% = 0.43

Pr (H and F) = 23% = 0.23

For conditional probability,

Pr (H and F) = Pr (H) * Pr (H|F)

Pr (H|F) = Pr (H and F) / Pr (H)

=0.23/0.43

Pr (H|F) = 0.535

The probability that a student attends football game and also attends dance = 0.535