a science teacher presented a balloon to her ...
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. shrink expand certain 4 5 uncertain 6 4 what is the probability that a randomly selected student was certain and believes the balloon will expand? simplify any fractions.
Answer
# Explanation:
## Step1: Find total number of students
$4 + 5+6 + 4=19$
## Step2: Find number of students who are certain and believe balloon will expand
The number of students who are certain and believe the balloon will expand is 5.
## Step3: Calculate probability
The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{5}{19}$.
# Answer:
$\frac{5}{19}$