Answer:
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
