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If a student is selected at random from a group of 20 students, where 12 are gir

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Question: If a student is selected at random from a group of 20 students, where 12 are girls and 8 are boys, what is the probability that the selected student is a boy?

Options:

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

Correct Answer: 1/2

Solution: 

The probability of selecting a boy is the number of boys divided by the total number of students, which is 8/20 = 2/5.

If a student is selected at random from a group of 20 students, where 12 are gir

Practice Questions

Q1
If a student is selected at random from a group of 20 students, where 12 are girls and 8 are boys, what is the probability that the selected student is a boy?
  1. 2/5
  2. 1/2
  3. 3/5
  4. 1/4

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 20 students, where 12 are girls and 8 are boys, what is the probability that the selected student is a boy?
  • Step 1: Identify the total number of students in the group. There are 20 students.
  • Step 2: Identify how many of those students are boys. There are 8 boys.
  • Step 3: To find the probability of selecting a boy, use the formula: Probability = (Number of boys) / (Total number of students).
  • Step 4: Substitute the numbers into the formula: Probability = 8 / 20.
  • Step 5: Simplify the fraction 8/20. Both numbers can be divided by 4, which gives us 2/5.
  • Step 6: The final answer is that the probability of selecting a boy is 2/5.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of possible outcomes.
  • Basic Counting – Understanding how to count the number of favorable outcomes (boys) and total outcomes (students) in a given scenario.
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