If a student is selected at random from a group of 40 students, where 25 are gir
Practice Questions
Q1
If a student is selected at random from a group of 40 students, where 25 are girls and 15 are boys, what is the probability that the selected student is a boy?
3/8
1/2
3/5
1/3
Questions & Step-by-Step Solutions
If a student is selected at random from a group of 40 students, where 25 are girls and 15 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 40 students.
Step 2: Identify the number of boys in the group. There are 15 boys.
Step 3: Use the formula for probability, which is: Probability = Number of favorable outcomes / Total outcomes.
Step 4: Substitute the values into the formula. Here, the favorable outcome is selecting a boy, so we have: Probability of selecting a boy = Number of boys (15) / Total students (40).
Step 5: Calculate the probability: 15 / 40.
Step 6: Simplify the fraction 15 / 40 to its lowest terms. This gives us 3 / 8.
Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of outcomes.
Ratio – A comparison of two quantities, in this case, the number of boys to the total number of students.
