find the probability of the spinner below.\n1. what is the probability of the spinner landing on the letter…

Explanation:

Step1: Determine total sections

The spinner is divided into 4 sections.

Step2: Calculate probability of landing on G

There is 1 section labeled G. Probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(G)=\frac{1}{4}$.

Step3: Calculate probability of landing on C

There is 1 section labeled C. So $P(C)=\frac{1}{4}$.

Step4: Calculate probability of landing on P

There are 2 sections labeled P. So $P(P)=\frac{2}{4}=\frac{1}{2}$.

Step5: Calculate probability of landing on P or G

$P(P\cup G)=P(P)+P(G)$. Substituting values, $P(P\cup G)=\frac{1}{2}+\frac{1}{4}=\frac{2 + 1}{4}=\frac{3}{4}$.

Step6: Calculate probability of landing on C or P

$P(C\cup P)=P(C)+P(P)$. Substituting values, $P(C\cup P)=\frac{1}{4}+\frac{1}{2}=\frac{1+2}{4}=\frac{3}{4}$.

Answer:

1. $\frac{1}{4}$
2. $\frac{1}{4}$
3. $\frac{1}{2}$
4. $\frac{3}{4}$
5. $\frac{3}{4}$