Question

e set of axes
b. ( y = -\frac{2}{3}x + 3 )

tions. see the math notes in this lesson for mo
bability in general is:
( p(\text{success}) = \frac{\text{number of success}}{\text{total number of possible outcomes}} )
into a bag with 16 total shapes, four of which h
bability to predict the chances of the shape hav
( p(\text{right angle}) = \frac{\text{number of success}}{\text{total number of possible outcomes}} )
( = \frac{4 \text{ shapes with right angles}}{16 \text{ total shapes}} )
( = \frac{4}{16} = \frac{1}{4} = 0.25 = 25% )
ns of writing probability: ( \frac{4}{16} ) (read \4 out of 16\
is its equivalent percent. what else can probabili

Explanation:

Step1: Identify the formula for probability

The formula for probability of success is given by \( P(\text{success})=\frac{\text{number of success}}{\text{total number of possible outcomes}} \)

Step2: Substitute the values

Here, the number of shapes with right angles (success) is 4 and the total number of shapes (possible outcomes) is 16. So we substitute these values into the formula: \( P(\text{right angle})=\frac{4}{16} \)

Step3: Simplify the fraction

Simplify \( \frac{4}{16} \) by dividing both numerator and denominator by their greatest common divisor, which is 4. So \( \frac{4\div4}{16\div4}=\frac{1}{4} \)

Step4: Convert to decimal and percentage

To convert \( \frac{1}{4} \) to decimal, we divide 1 by 4: \( 1\div4 = 0.25 \)
To convert the decimal to percentage, we multiply by 100: \( 0.25\times100 = 25\% \)

Answer:

The probability of selecting a shape with a right angle is \( \frac{1}{4} \) (or 0.25 or 25%).