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If a student is selected at random from a group of 20 students, 12 of whom are b

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

Options:

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

Correct Answer: 3/5

Solution:

Probability = Number of boys / Total students = 12/20 = 3/5.

If a student is selected at random from a group of 20 students, 12 of whom are b

Practice Questions

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

Questions & Step-by-Step Solutions

If a student is selected at random from a group of 20 students, 12 of whom are boys, what is the probability that the student is a boy?
  • Step 1: Identify the total number of students in the group. In this case, there are 20 students.
  • Step 2: Identify the number of boys in the group. Here, there are 12 boys.
  • Step 3: Use the formula for probability, which is: Probability = (Number of boys) / (Total number of students).
  • Step 4: Substitute the numbers into the formula: Probability = 12 / 20.
  • Step 5: Simplify the fraction 12/20. Both numbers can be divided by 4, which gives us 3/5.
  • Step 6: The final answer is that the probability of selecting a boy is 3/5.
  • Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of possible outcomes.
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