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If a student is selected at random from a group of 20 students, where 8 are girl
Practice Questions
Q1
If a student is selected at random from a group of 20 students, where 8 are girls, what is the probability that the selected student is a boy?
3/5
1/4
1/2
2/5
Questions & Step-by-Step Solutions
If a student is selected at random from a group of 20 students, where 8 are girls, what is the probability that the selected student is a boy?
Steps
Concepts
Step 1: Identify the total number of students in the group. In this case, there are 20 students.
Step 2: Identify the number of girls in the group. Here, there are 8 girls.
Step 3: Calculate the number of boys by subtracting the number of girls from the total number of students. So, 20 - 8 = 12 boys.
Step 4: Write down the total number of boys, which is 12.
Step 5: To find the probability of selecting a boy, divide the number of boys by the total number of students. This gives us 12/20.
Step 6: Simplify the fraction 12/20. Both numbers can be divided by 4, resulting in 3/5.
Probability
– The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Complementary Counting
– Using the total number of items and subtracting the known quantity (in this case, girls) to find the unknown quantity (boys).
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