Question

there are 45 balloons at a birthday party and only 15 of them have prizes inside.if a student is allowed to pop one balloon what is the probability she will not win a price.A. 1/3B. 2/3C. 1/5D. 4/5

Answer 1

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:

`\begin{gathered} x=\frac{\text{Number of balloons without prizes}}{\text{Total ballons}} \\ \\ x=(30)/(45) \end{gathered}`

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:

`\begin{gathered} x=(30/15)/(45/15)=(2)/(3) \\ \\ x=(2)/(3) \end{gathered}`

Therefore, the probability the student will not win a prize is ⅔

ANSWER:

B. ⅔