Answer:
[tex]\frac{108}{1376}[/tex]
Step-by-step explanation:
total number of students = 1376
no. of students who participate in sports= 649
n0. of students who participate in music = 433
student participates in either sports or music= 974
The probability of sports and music is equal to probability of sports plus the probability of music minus their overlap
P(s ∪ m)= P(s) + P(m) - P(s∩m)
974/1376 = 649/1376 + 433/1376 - P(s∩m)
974/1376= 1082/1376 - P(s∩m)
P(s∩m)= 1082/1376- 974/1376 => 108/1376
Thus, the probability that a student participates in both sports and music is [tex]\frac{108}{1376}[/tex]
