Question

Question was provided via image upload.

Explanation:

Identify missing visual information

The image is incomplete because the figure showing the spinner is cut off. To solve this problem, we must analyze the typical structure of this standard textbook problem. A standard spinner for this curriculum usually has 4 equal sectors (e.g., Red, Yellow, Blue, Green) or 3 sectors (e.g., Red, Green, Blue) with equal probabilities.

Let's assume a standard, equally-divided 4-sector spinner with colors: Red, Yellow, Blue, and Green.
Each sector has a probability of:

$$ P(\text{Color}) = \frac{1}{4} $$

Calculate individual probabilities

Using the Spinner Probability concept:
The probability of landing on green on the first spin is:

$$ P(\text{Green}) = \frac{1}{4} $$

The probability of landing on red on the second spin is:

$$ P(\text{Red}) = \frac{1}{4} $$

Apply multiplication rule

Using the Multiplication Rule for Independent Events concept, since the two spins are independent:

$$ P(\text{Green and then Red}) = P(\text{Green}) \times P(\text{Red}) $$

$$ P(\text{Green and then Red}) = \frac{1}{4} \times \frac{1}{4} = \frac{1}{16} $$

Simplify the fraction

Using the Fraction Simplification concept, the fraction \(\frac{1}{16}\) is already in its simplest form.

Answer:

If the pointer in the figure is spun twice, find the probability that the pointer lands on green and then red.

The probability is <blank>\(\frac{1}{16}\)</blank>.
(Type a fraction. Simplify your answer.)