Question

a science teacher presented a balloon to her class, and posed the question, if i keep this balloon in the freezer overnight, what will occur? she followed up with, how certain are you of your answer? the teacher recorded her students responses. what is the probability that a randomly selected student was certain and believes the balloon will expand? simplify any fractions.

Explanation:

Step1: Find total number of students

The total number of students is the sum of all values in the table. So, \(6 + 4+4 + 5=19\).

Step2: Find number of students who are 'certain'

The number of students who are 'certain' is \(4 + 5 = 9\).

Step3: Calculate probability

The probability \(P\) that a randomly - selected student was certain is the number of certain students divided by the total number of students. So, \(P=\frac{9}{19}\).

Answer:

\(\frac{9}{19}\)