Math Problem Statement

If one student is chosen at random, find the probability that the student did NOT get a 'C'.

Solution

The question asks for the probability that a student chosen at random did not get a "C." Here's how to solve it:

Step 1: Total number of students

From the table: Total students=75\text{Total students} = 75

Step 2: Students who got a "C"

The total number of students who got a "C" is: Students who got a "C"=27\text{Students who got a "C"} = 27

Step 3: Students who did not get a "C"

Students who did not get a "C"=Total studentsStudents who got a "C"=7527=48\text{Students who did not get a "C"} = \text{Total students} - \text{Students who got a "C"} = 75 - 27 = 48

Step 4: Probability

The probability of choosing a student who did not get a "C" is: P(Not C)=Students who did not get a "C"Total students=4875P(\text{Not C}) = \frac{\text{Students who did not get a "C"}}{\text{Total students}} = \frac{48}{75}

Simplify the fraction: P(Not C)=1625or approximately 0.64(64%)P(\text{Not C}) = \frac{16}{25} \quad \text{or approximately } 0.64 \, (64\%)

Final Answer:

P(Not C)=1625or 64%.P(\text{Not C}) = \frac{16}{25} \, \text{or } 64\%.

Would you like further clarification or additional examples?


5 Related Questions:

  1. What is the probability of selecting a male who got an "A"?
  2. What is the probability of selecting a female student?
  3. What is the probability of selecting a student who got a "B"?
  4. What is the probability of selecting a student who got an "A" or "B"?
  5. How would the probabilities change if 10 more students were added to the total?

Tip:

Always double-check totals when calculating probabilities to ensure no errors in summation or categorization!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Probability
Data Analysis

Formulas

P(Event) = Number of favorable outcomes / Total number of outcomes

Theorems

-

Suitable Grade Level

Grades 7-9