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?
2/5
1/2
3/5
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.