Question

Each letter of the alphabet is written on a separate piece of paper and placed in a box. Find the
probability of drawing a vowel, {a, e, i, o, u}, or a letter in the word "segments"?

Answer 1

5 out of 26 for drawing a vowel

Answer 2

Line up the letters of the word segments and the vowels,
s e g m e n t s a e i o u
and remove the duplicates.
The number of unique letters that remain represent the number of successful choices out of 26.
Can you find the probability,
P({s e g m n t}∪{a e i o u})?

Answer 3

I think I have it! Is it 11/26?

Answer 4

Did you remove all the duplicates?

Answer 5

Is the answer 6/13?

Answer 6

6/13 is not correct, becuase it translates to 12/26, meaning that there are 12 possible choices.

If we simplify
{s e g m n t}∪{a e i o u}
={s g m n t a e i o u}
becaue identical members are not shown in duplicate.
So there are 10 possible succesful outcomes out of 26.
What would be the probability of this happening?

Answer 7

5/13

Answer 8

Correct!