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In a class of 30 students, 18 are boys. What is the probability that a randomly

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Question: In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?

Options:

  1. 1/3
  2. 2/5
  3. 1/2
  4. 3/5

Correct Answer: 1/3

Solution:

Number of girls = 30 - 18 = 12. Probability = Number of girls / Total students = 12/30 = 2/5.

In a class of 30 students, 18 are boys. What is the probability that a randomly

Practice Questions

Q1
In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?
  1. 1/3
  2. 2/5
  3. 1/2
  4. 3/5

Questions & Step-by-Step Solutions

In a class of 30 students, 18 are boys. What is the probability that a randomly selected student is a girl?
  • Step 1: Identify the total number of students in the class, which is 30.
  • Step 2: Identify the number of boys in the class, which is 18.
  • Step 3: Calculate the number of girls by subtracting the number of boys from the total number of students: 30 - 18 = 12.
  • Step 4: Write down the formula for probability, which is the number of favorable outcomes (girls) divided by the total number of outcomes (students).
  • Step 5: Substitute the values into the formula: Probability = Number of girls / Total students = 12 / 30.
  • Step 6: Simplify the fraction 12/30 to its lowest terms, which is 2/5.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Basic Arithmetic – The fundamental operations of addition, subtraction, multiplication, and division used to calculate the number of girls and the probability.
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