Question

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

Answer 1

Answer:

Statement B ,C , F are True.

Step-by-step explanation:

Given: 1 to 8 nos are written on 8 faced solid

Total No of Outcome = 8

$Probability=\frac{No\:of\:favoranle\:outcome}{Total\:no\:of\:outcome}$

A).

favorable outcome = 2 , 4 , 6 , 8

No. of favorable outcome = 4

$\implies Probability=\frac{4}{8}$

Thus, This statement is not True.

B).

favorable outcome = 3 , 6

No. of favorable outcome = 2

$\implies Probability=\frac{2}{8}=\frac{1}{4}$

Thus, This statement is True.

C).

favorable outcome = 1 , 3 , 5 , 7

No. of favorable outcome = 4

$\implies Probability=\frac{4}{8}=\frac{1}{2}$

Thus, This statement is True.

D).

favorable outcome = 1 , 2 , 3 , 4 , 5 , 6 , 7

No. of favorable outcome = 7

$\implies Probability=\frac{7}{8}$

Thus, This statement is not True.

E).

favorable outcome = 2 , 3 , 4 , 6 , 8

No. of favorable outcome = 5

$\implies Probability=\frac{5}{8}$

Thus, This statement is not True.

F).

favorable outcome = 0 (since 9 is not numbered on solid)

No. of favorable outcome = 0

$\implies Probability=\frac{0}{8}=0$

Thus, This statement is True.