I WILL GIVE AWAY ALL OF MY POINTS IF YOU ANSWER THESE TWO QUESTIONS PLEASE!

A number cubed is rolled and a letter is selected from the word AMERICA. Find the probability. Show your work.
1. P [less than 4 and a vowel]
2. P [greater than 1 and a constant]

Respuesta :

#1) 2/7
#2) 5/14

For #1:
The probability of rolling a number less than 4 is 3/6 = 1/2, since there are 3 numbers less than 4 on the die that has a total of 6 numbers.
The probability of selecting a vowel is 4/7, since there are 4 vowels out of 7 letters.
Together, this gives us 1/2(4/7) = 4/14 = 2/7.

For #2:
The probability of rolling a number greater than 1 is 5/6, since there are 5 numbers greater than 1 out of 6 total numbers.
The probability of selecting a consonant is 3/7, since there are 3 consonants out of 7 letters.
Together, this gives us 5/6(3/7) = 15/42 = 5/14