a science teacher presented a balloon to her class, and posed the question, \if i keep this balloon in the…

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.\n| |shrink|expand|\n|--|--|--|\n|certain|4|5|\n|uncertain|6|4|\nwhat is the probability that a randomly selected student was certain and believes the balloon will expand?\nsimplify any fractions.

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.\n| |shrink|expand|\n|--|--|--|\n|certain|4|5|\n|uncertain|6|4|\nwhat is the probability that a randomly selected student was certain and believes the balloon will expand?\nsimplify any fractions.

Answer

Explanation:

Step1: Find total number of students

Add all values in the table: $4 + 5+6 + 4=19$.

Step2: Identify number of students who are certain and believe balloon will expand

From the table, the number of students who are certain and believe the balloon will expand is 5.

Step3: Calculate probability

Probability is the number of favorable outcomes over total outcomes. So the probability $P=\frac{5}{19}$.

Answer:

$\frac{5}{19}$