Questionbe a boy? Round to three decimal places as needed A. 0.571 B. 0.314 C. 0.429 D. 0.71
Studdy Solution
STEP 1
What is this asking? What's the chance we pick a boy out of all the students in the class? Watch out! Don't forget to count *all* the students, boys *and* girls, when figuring out the total!
STEP 2
1. Count the boys
2. Count all students
3. Calculate the probability
STEP 3
Let's **gather** all the boys from each town!
We have , , and .
STEP 4
Now **add** them all up to get the **total number of boys**: .
Twenty boys!
Woohoo!
STEP 5
We know there are boys.
Now let's **count** the girls: , , and .
STEP 6
**Add** those lovely ladies up: girls.
STEP 7
To get the **total number of students**, we **combine** the boys and girls: .
Thirty-five bright young minds!
STEP 8
Remember, probability is just the chance of something happening.
It's a fraction: what we want over all the possibilities.
We want a boy, and there are of them.
There are total students.
So, our fraction is .
STEP 9
Let's **simplify** that fraction!
Both and are divisible by .
Dividing both the numerator and denominator by gives us .
STEP 10
Now, let's **convert** this fraction to a decimal by dividing by : .
STEP 11
The problem asks us to **round** to three decimal places.
Looking at the fourth decimal place, we see it's greater than or equal to , so we **round up** the third decimal place: .
So, the probability of picking a boy is approximately !
STEP 12
The probability that the teacher calls on a boy is approximately .
So the answer is A!
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