Answer:
[tex]\dfrac{24}{31}[/tex]
Step-by-step explanation:
Given information:
Total number of girls = 14
Total number of boys = 17
Total number of peoples = 14 + 17 = 31
6 girls and 7 boys brought balloons.
Let A and B are two events, such that
A = Choosing a girl
B = Choosing someone who did not bring a balloon.
[tex]A\cup B[/tex] = Choosing girl or someone who did not bring a balloon.
[tex]n(S)=31,n(A)=14,n(B)=18,n(A\cup B)=14+10=24[/tex]
The probability of randomly choosing a girl or someone who did not bring a balloon is
[tex]P=\dfrac{n(A\cup B)}{n(S)}[/tex]
[tex]P=\dfrac{24}{31}[/tex]
Therefore, the required probability is [tex]\dfrac{24}{31}[/tex].
