In a class of 30 students, 18 are girls. If a student is selected at random, wha

Practice Questions

Q1
In a class of 30 students, 18 are girls. If a student is selected at random, what is the probability that the student is a girl?
  1. 3/5
  2. 2/5
  3. 1/2
  4. 1/3

Questions & Step-by-Step Solutions

In a class of 30 students, 18 are girls. If a student is selected at random, what is the probability that the student is a girl?
  • Step 1: Identify the total number of students in the class. In this case, there are 30 students.
  • Step 2: Identify the number of girls in the class. Here, there are 18 girls.
  • Step 3: Write the formula for probability, which is: Probability = (Number of favorable outcomes) / (Total outcomes).
  • Step 4: Substitute the numbers into the formula. The number of favorable outcomes (girls) is 18, and the total outcomes (students) is 30.
  • Step 5: Calculate the probability: Probability = 18 / 30.
  • Step 6: Simplify the fraction 18/30. Both numbers can be divided by 6, which gives us 3/5.
  • Step 7: Conclude that the probability of selecting a girl is 3/5.
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