Sanji throws an 8-sided solid with faces numbered 1 through 8. Which of the following statements is true? Select all that apply. A. P (even number) = 18 B. P (multiple of 3) = 14 C. P (odd number) = 12 D. P (number less than 8) = 1 E. P (factor of 24) = 34 F. P (the number 9) = 0

P (multiple of 3) = 2/8 = 1/4 true

P (odd number) = 4/8 = 1/2 true

P (factor of 24) = 6/8 = 3/4 true

P (the number 9) = 0/8 = 0 true

Step-by-step explanation:

* Lets explain how to solve the problem

- There is an 8-sided solid with faces numbered 1 through 8

∴ We have the numbers from 1 to 8 (1, 2, 3, 4, 5, 6, 7, 8)

- Probability is the chance of an event occurring.

- Ex: the probability of flipping a coin and it being heads is 1/2

because there is 1 way of getting a head and the total number of

possible outcomes is 2 (a head or tail)

- We write P (heads) = 1/2

* Lets check the answers to find the true statement

# P (even number)

∵ There are 4 even numbers (2, 4, 6, 8)

∵ There are 8 numbers

∴ P (even number) = 4/8 = 1/2 ≠ 1/8

# P (multiple of 3)

∵ There are 2 multiple of 3 (3, 6)

∵ There are 8 numbers

∴ P (multiple of 3) = 2/8 = 1/4 true

# P (odd number)

∵ There are 4 odd numbers (1, 3, 5, 7)

∵ There are 8 numbers

∴ P (odd number) = 4/8 = 1/2 true

# P (number less than 8)

∵ There are 7 numbers less than 8 (1, 2, 3, 4, 5, 6, 7)

∵ There are 8 numbers

∴ P (number less than 8) = 7/8 ≠ 1

# P (factor of 24)

∵ There are 4 factors of 24 (1, 2, 3, 4, 6, 8)

∵ There are 8 numbers

∴ P (factor of 24) = 6/8 = 3/4 true

# P (the number 9)

∵ There is no 9

∵ There are 8 numbers

∴ P (the number 9) = 0/8 = 0 true