In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the cla plays a sport or an instrument? & }(c) Plays an instrument & Does not play an instrument Plays a sport & 6 & 4 Does not play a sport & 5 & 3

To find the probability that a student chosen randomly from the class plays a sport or an instrument, we need to consider all the students who play either one or both of these activities.Step 1: Define the events.Let be the event "the student plays a sport" and be the event "the student plays an instrument".Step 2: Identify the sample space and the event.The sample space consists of all the students in the class. The event we are interested in is , which means "the student plays a sport or an instrument".Step 3: Count the number of outcomes in the event .To find the number of students who play a sport or an instrument, we add the number of students who play a sport, the number of students who play an instrument, and subtract the number of students who play both (to avoid double-counting).From the table:- The number of students who play a sport is .- The number of students who play an instrument is .- The number of students who play both a sport and an instrument is .Therefore, the number of students who play a sport or an instrument is .Step 4: Find the total number of outcomes.To find the total number of students, we add all the numbers in the table. Step 5: Calculate .The probability of event is the number of outcomes in event divided by the total number of outcomes. Step 6: Simplify the fraction. The probability that a student chosen randomly from the class plays a sport or an instrument is .