SAT question a3384df0 (Probability And Conditional Probability)

Question

The number of penguins in a zoo exhibit, sorted by gender and type of penguin, is shown in the table above. Which type of penguin has a female population that is the closest to being one-third of the total female penguin population in the exhibit?

College Board · Accepted Answer

The correct answer is A. Choice A is correct. It is given that there are 180 female penguins in the exhibit. Therefore, 1/3 of the female penguins is 1/3 × 180 = 60 penguins. According to the table, there are 59 female chinstrap penguins, 27 female emperor penguins, 54 female gentoo penguins, and 40 female macaroni penguins. So the female chinstrap penguin population is the closest to 60 , or 1/3 of the total female population in the exhibit.

CookSAT · Answer

Note: The list f holds the female counts for each penguin type. Evaluate the absolute difference between each count and one-third of the total female population (60). The smallest difference is 1, which corresponds to Chinstrap.

Penguin Exhibit
Type of penguin	Male	Female	Total
Chinstrap	$41$	$59$	$100$
Emperor	$8$	$27$	$35$
Gentoo	$49$	$54$	$103$
Macaroni	$42$	$40$	$82$
Total	$140$	$180$	$320$

Explanation

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Why the other choices are wrong

SAT Question a3384df0: Probability And Conditional Probability answer and explanation with Desmos solution

Explanation

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Why the other choices are wrong