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

Step3: Calculate probability

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

Answer:

$\frac{5}{19}$