If a student is selected at random from a group of 15 students, where 9 are girl
Practice Questions
Q1
If a student is selected at random from a group of 15 students, where 9 are girls and 6 are boys, what is the probability that the selected student is a boy? (2021)
1/3
2/5
1/2
3/5
Questions & Step-by-Step Solutions
If a student is selected at random from a group of 15 students, where 9 are girls and 6 are boys, what is the probability that the selected student is a boy? (2021)
Step 1: Identify the total number of students in the group. There are 15 students in total.
Step 2: Identify the number of boys in the group. There are 6 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. The number of favorable outcomes (boys) is 6, and the total outcomes (students) is 15.
Step 5: Calculate the probability: Probability of selecting a boy = 6 / 15.
Step 6: Simplify the fraction 6/15 to its simplest form, which is 2/5.
Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to the total number of possible outcomes.
Ratio Simplification – The process of reducing a fraction to its simplest form.