for a certain class, the following data table summarizes the amount of sleep of students and whether or not…

for a certain class, the following data table summarizes the amount of sleep of students and whether or not they have an a in the class. what is the probability that a student chosen randomly from the class is a student who slept 6 hours or less who does not have an a?\n| |slept more than 6 hours|slept 6 hours or less|\n|--|--|--|\n|has an a|3|5|\n|does not have an a|2|11|

for a certain class, the following data table summarizes the amount of sleep of students and whether or not they have an a in the class. what is the probability that a student chosen randomly from the class is a student who slept 6 hours or less who does not have an a?\n| |slept more than 6 hours|slept 6 hours or less|\n|--|--|--|\n|has an a|3|5|\n|does not have an a|2|11|

Answer

Explanation:

Step1: Find total number of students

Add all values in the table: $3 + 5+2 + 11=21$.

Step2: Identify number of favorable students

The number of students who slept 6 hours or less and do not have an A is 11.

Step3: Calculate probability

The probability $P$ is the number of favorable outcomes divided by the total number of outcomes. So $P=\frac{11}{21}$.

Answer:

$\frac{11}{21}$