Question

jamie plays sitting volleyball, a sport where athletes compete in a seated position. jamie has two serves, a hard serve and a high serve.

• when jamie uses her hard serve, 30% of her serves go out of bounds. of those that stay in bounds, 60% result in a point for her team.
• when jamie uses her high serve, 10% of her serves go out of bounds. of those that stay in bounds, 50% result in a point for her team.

to have the greatest chance of scoring a point on her next serve, should jamie use her hard serve or her high serve? use the drop - down menus to explain.

Explanation:

Step1: Calculate hard serve point chance

Probability = (1 - 0.3) × 0.6 = 0.7 × 0.6 = 0.42

Step2: Calculate high serve point chance

Probability = (1 - 0.1) × 0.5 = 0.9 × 0.5 = 0.45

Step3: Compare the two probabilities

0.45 > 0.42

Answer:

Jamie should use her high serve. The probability of scoring a point with the hard serve is 42%, while with the high serve it is 45%, so the high serve has a greater chance of scoring a point.