Injuries are unfortunately part of every sport.

High school basketball is no exception, as the following table shows. The percentages listed are the percent of reported injuries that occur to high school male and female basketball players and the location on their body that was injured.

Injury Location Males Females Ankle/foot 38.3% 36.0%

Hip/thigh/leg 14.7% 16.6%

Knee 10.3% 13.0%

Forearm/wrist/hand 11.5% 11.2%

Face/scalp 12.2% 8.8%

Other 13.0% 14.4%

Total 100.0% 100.0%

If one player is selected at random from those included in the table:

a. Are the events the selected player was “male”

and “female” mutually exclusive? Explain.

b. Are the events the selected player’s injury was

“ankle/foot” and “knee” mutually exclusive?

Explain.

c. Are the events “female” and “face/scalp” mutually exclusive? Explain.

d. Find P(ankle/foot  male).

e. Find P(ankle/foot  female).

f. Find P(not leg related  male).

g. Find P(knee or face/scalp  male).

h. Find P(knee or face/scalp  female).

i. Explain why P(knee) for all high school basketball players cannot be found using the information in the table. What additional information is needed?