Question

1. what is the probability of spinning blue or red?

r represents red
y represents yellow
b represents blue
g represents green
a. $\frac{3}{4}$
b. $\frac{1}{4}$
c. $\frac{3}{16}$
d. $\frac{1}{16}$

Explanation:

Step1: Count total sections

The spinner has 16 equal - sized sections (by counting the number of labeled parts around the spinner).

Step2: Count blue and red sections

• Let's count the number of blue (B) sections: Looking at the spinner, we can see that there are 3 blue sections.
• The number of red (R) sections: There is 1 red section.
• So the total number of blue or red sections is \(3 + 1=4\).

Step3: Calculate probability

The probability of an event is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (spinning blue or red) is 4, and the total number of outcomes is 16. So \(P = \frac{4}{16}=\frac{1}{4}\)? Wait, no, wait. Wait, maybe I miscounted. Wait, let's re - examine the spinner. Wait, maybe the labels: Let's list out the labels on the spinner (from the diagram): Let's count again. Wait, maybe I made a mistake in counting blue and red. Wait, looking at the spinner: Let's see the letters: A, A, A, G, Y, G, B, G, Y, B, R, B, A, G, A, 9? Wait, no, maybe the correct count: Let's count the number of B (blue) and R (red). Let's see: B appears 3 times? Wait, no, maybe the spinner has 16 sections. Let's count the number of blue (B) and red (R) again. Wait, the red is 1, blue: let's see the positions: B, B, B? Wait, no, maybe the correct count is: red (R): 1, blue (B): 3. So total favorable is \(1 + 3=4\). Total sections: 16. Then probability is \(\frac{4}{16}=\frac{1}{4}\)? But wait, the option B is \(\frac{1}{4}\). Wait, but maybe I miscounted the total number of sections. Wait, let's count the number of sections on the spinner. Let's count the number of wedges: from the diagram, the spinner is divided into 16 equal parts (since we can see 16 labeled or unlabeled parts? Wait, the labels: A, A, A, G, Y, G, B, G, Y, B, R, B, A, G, A, 9? Wait, no, maybe the correct total number of sections is 16. Wait, but let's check the options. Option B is \(\frac{1}{4}\), which is \(\frac{4}{16}\). So the number of blue or red is 4, total is 16. So probability is \(\frac{4}{16}=\frac{1}{4}\).

Answer:

B. \(\frac{1}{4}\)