Given:
Total number of balloons = 45
Number of balloons with prizes = 15
Let's find the number of balloons without prizes.
Number of balloons without prizes = Total balloons - Number of balloons with prizes
= 45 - 15 = 30
If a student is allowed to pop one balloon, let's find the probability she will not win a price.
To find the probability she will not win a prize, apply the formula:
[tex]\begin{gathered} x=\frac{\text{Number of balloons without prizes}}{\text{Total ballons}} \\ \\ x=\frac{30}{45} \end{gathered}[/tex]Simplify the fraction.
Divide the numerator and denominator by the greatest common factor.
GCF of 30 and 45 = 15
Divide both the numerator and denominator by 15:
[tex]\begin{gathered} x=\frac{30\div15}{45\div15}=\frac{2}{3} \\ \\ x=\frac{2}{3} \end{gathered}[/tex]Therefore, the probability the student will not win a prize is ⅔
ANSWER:
B. ⅔
