Question

You mix letters (S E M I T R O P I C A & L) thoroughly. Without looking you draw one letter, find the probability that you will get a vowel. Write your answer as a fraction in simplest form.
A 12/5
B 5/12
C 1/3
D 7/12


2-
you roll a standerd number cube once. find P(0)
A 7/6
B 1
C 1/2
D 0

thanks

Answer 1

1.Out of 12 possible letters (s+e+m+i+t+r+o+p+i+c+a+l=12 total letters)
 5 are vowels  SEMITROPICAL  (e+i+o+i+a=5 vowels)

5 out of 12 are vowels  5/12 are vowels

P(vowel)=5/12

2. P(o)
Out of 6 total sides on a dice
none of them have a 0 side.

0/6

P(0)=0/6=0

Answer 2

Answer:

1) Option B

2) Option D

Step-by-step explanation:

1) S  E  M  I  P  T  R  O  P  I  C  A  L

$\bold{Probability} = \frac{\text{Favorable number of Outcomes}}{\text{total number of Outcomes}}$

Favorable outcomes: E, I, O, I, A

Favorable outcomes = 5

Total Outcomes = 12

Probability(Vowel) = $\frac{5}{12} = 0.416$

2) Sample space when we roll a cube:

{1, 2, 3, 4, 5, 6}

$\bold{Probability} = \frac{\text{Favorable number of Outcomes}}{\text{total number of Outcomes}}$

Favorable outcome = 0

Total Outcomes = 6

Probability(Rolling a number 0) = $\frac{0}{6} = 0$