Question

c. express as

1. 2. a spinner has 10 equal sections labeled 1-10.

a. find p(prime).
b. find p(factor of 12).
c. find p(not even).

Explanation:

Part a: Find \( P(\text{prime}) \)

Step1: Identify prime numbers 1 - 10

Prime numbers between 1 and 10 are 2, 3, 5, 7. So there are 4 prime numbers.

Step2: Calculate probability

Probability \( P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Total outcomes = 10, favorable = 4. So \( P(\text{prime}) = \frac{4}{10}=\frac{2}{5} \).

Part b: Find \( P(\text{factor of 12}) \)

Step1: Identify factors of 12 in 1 - 10

Factors of 12 are 1, 2, 3, 4, 6. So there are 5 factors.

Step2: Calculate probability

Using \( P = \frac{\text{favorable}}{\text{total}} \), total = 10, favorable = 5. So \( P(\text{factor of 12})=\frac{5}{10}=\frac{1}{2} \).

Part c: Find \( P(\text{not even}) \)

Step1: Identify odd (not even) numbers 1 - 10

Odd numbers: 1, 3, 5, 7, 9. So 5 numbers.

Step2: Calculate probability

\( P = \frac{\text{favorable}}{\text{total}}=\frac{5}{10}=\frac{1}{2} \).

Answer:

s:
a. \( \boldsymbol{\frac{2}{5}} \)
b. \( \boldsymbol{\frac{1}{2}} \)
c. \( \boldsymbol{\frac{1}{2}} \)