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In a class of 30 students, 18 are boys and 12 are girls. If a student is selecte

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Question: In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?

Options:

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

Correct Answer: 2/3

Solution:

The total number of students that are not boys is 12 (girls). The probability of selecting a girl given that the student is not a boy is 12/12 = 1.

In a class of 30 students, 18 are boys and 12 are girls. If a student is selecte

Practice Questions

Q1
In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
  1. 1/2
  2. 2/3
  3. 1/3
  4. 1/4

Questions & Step-by-Step Solutions

In a class of 30 students, 18 are boys and 12 are girls. If a student is selected at random, what is the probability that the student is a girl given that the student is not a boy?
Correct Answer: 1
  • 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 in the class, which is 30 - 18 = 12.
  • Step 4: Determine the number of students that are not boys. Since all the girls are not boys, this number is 12 (the number of girls).
  • Step 5: The probability we want to find is the chance of selecting a girl given that the student is not a boy. Since all students that are not boys are girls, the probability is 12 (girls) divided by 12 (not boys).
  • Step 6: Calculate the probability: 12/12 = 1.
  • Conditional Probability – The probability of an event occurring given that another event has already occurred.
  • Total Probability – Understanding the total number of outcomes in a probability scenario.
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