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Type: Multiple-Choice
Category: Represent and Determine Probability
Level: Grade 10
Standards: HSS-CP.A.4
Author: nsharp1
Last Modified: 5 years ago

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Grade 10 Represent and Determine Probability CCSS: HSS-CP.A.4

Residents of two different neighborhoods within a city were asked what their favorite sport is, basketball or soccer, with the results in the two-way table below. Is living in Leaside independent of someone's favorite sport, and why or why not?

	$"Soccer"$	$"Basketball"$	$\mathbf{ Total}$
$"Leaside"$	$51$	$26$	$77$
$"Danforth"$	$15$	$8$	$23$
$\mathbf{Total}$	$66$	$34$	$100$

No, they are not independent, because a different number of people chose each sport.
No, they are not independent, since P(Basketball) $!=$ P(Leaside | Basketball).
Yes, they are independent, because P(Soccer | Leaside) $~~$ P(Soccer) and P(Leaside | Soccer) $~~$ P(Leaside).
Yes, they are independent, since P(Soccer and Leaside) $~~$ P(Soccer) $xx$ P(Leaside) and P(Basketball and Leaside) $~~$ P(Basketball) $xx$ P(Leaside).