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In a class of 30 students, 18 are girls. If a student is chosen at random, what
In a class of 30 students, 18 are girls. If a student is chosen at random, what is the probability that the student is a boy?
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In a class of 30 students, 18 are girls. If a student is chosen at random, what is the probability that the student is a boy?
1/3
2/5
1/2
3/5
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The number of boys is 30 - 18 = 12. The probability is 12/30 = 2/5.
Questions & Step-by-step Solutions
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Q
Q: In a class of 30 students, 18 are girls. If a student is chosen at random, what is the probability that the student is a boy?
Solution:
The number of boys is 30 - 18 = 12. The probability is 12/30 = 2/5.
Steps: 6
Show Steps
Step 1: Identify the total number of students in the class. There are 30 students.
Step 2: Identify the number of girls in the class. There are 18 girls.
Step 3: Calculate the number of boys by subtracting the number of girls from the total number of students: 30 - 18 = 12 boys.
Step 4: Write the probability formula for choosing a boy: Probability = (Number of boys) / (Total number of students).
Step 5: Substitute the numbers into the formula: Probability = 12 / 30.
Step 6: Simplify the fraction 12 / 30 to its lowest terms: 12 / 30 = 2 / 5.
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