please help with these maht statistical probabilty questions

Question

	Plays an instrument	Does not play an instrument
Plays a sport	5	2
Does not play a sport	4	12

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 class plays a sport or an instrument?

Answer 1

From the table, we can read directly:

# of students who play sport only = 2 (they don't play instrument)

# instrument only = 4

# who play both = 5

# who don't play either = 12

# who play either = 2+5+4 = 11

total number of students = 11 + 12 = 23

P(sport or instrument) = P(either) = 11/23

Answer 2

P(A ∨ B) = P(A) + P(B)