Question

hailey and selena play a game where a dart is dropped at random onto the target shown below. hailey scores a point if the dart lands within the white area of the target. selena scores a point if the dart lands within the shaded area. the dart is guaranteed to land on the target and not on a boundary line. is the game fair? use the drop - down menus to explain. click the arrows to choose an answer from each menu. for each drop of the dart, hailey is choose... selena to score a point. the game is choose...

Explanation:

Step1: Count total squares

The target has \(4\times4 = 16\) squares.

Step2: Count white and shaded squares

There are 4 white squares and \(16 - 4=12\) shaded squares.

Step3: Calculate probabilities

Probability of Hailey scoring \(P(H)=\frac{4}{16}=\frac{1}{4}\), probability of Selena scoring \(P(S)=\frac{12}{16}=\frac{3}{4}\). Since \(P(H)
eq P(S)\), the game is unfair.

Answer:

For each drop of the dart, Hailey is less likely than Selena to score a point. The game is unfair.