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

1) Option B

2) Option D

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) =
`(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) =
`(0)/(6) = 0`