Answer:
[tex]\frac{5}{52}[/tex]
Step-by-step explanation:
In probability,
"AND" means "MULTIPLICATION"
"OR" means "ADDITION"
Here, we want Probability of "picking a vowel" and "rolling 3 or less".
So we have to find individual probability and MULTIPLY.
Probability of picking a vowel:
There are 26 letter in the alphabet out of which 5 are vowels, so
P(vowel) = 5/26
Probability of rolling 3 or less:
There are 6 numbers in a die (1-6) and rolling 3 or less is 3, 2, 1. So 3 numbers.
P(rolling 3 or less) = 3/6 = 1/2
Now we multiply:
[tex]\frac{5}{26}*\frac{1}{2}=\frac{5}{52}[/tex]
This is the answer.