Question

. A mini license plate for a toy car must consist of a vowel followed by two numbers. Each number must be a 1 or 6. Repetition of digits is permitted. • Use the counting principle to determine the number of points in the sample space. • Construct a tree diagram to represent this situation • List the sample space. • Determine the exact probability of creating a mini license plate with an A. Give solution exactly in reduced fraction form

Answer 1

tree diagram is a really really dumb idea here. it is counting.

Answer 2

ya i know.. prof wants us to do a tree diagram lol

Answer 3

5 vowels times 100 two digit numbers is 500 elements in the sample space

Answer 4

I know its 104 possiblities but how do i do a tree diagram

Answer 5

where did 104 come from?

Answer 6

and where did this problem come from because i have seen this exact "mini license plate" bit before

Answer 7

26 * 2 * 2 = 104 possibilities

Answer 8

i posted it last nite...
and nobody helped me with it

Answer 9

no i mean is it in a book? now matter, we continue

Answer 10

yes its a question for my class.

Answer 11

out of the 5 vowels A, E, I, O, U
exactly 1 is an A
so the probability that your license plate begins with an A is
\[\frac{1}{5}\]

Answer 12

oh crap i wasn't reading carefully. answer is correct but number of elements in sample space is wrong

Answer 13

was i right on the number of possibilities?

Answer 14

no i don't think so. if i read correctly last two numbers can only be 1 or 6 right?

Answer 15

oh ok..

Answer 16

so the last two could be
16
61
11
66

Answer 17

and the first one could be one of 5 vowels.
multiply 4 times 5 get 20

Answer 18

you want the tree diagram?

Answer 19

so it would be 20 on possibility? and yes please that way i know how to do it..

Answer 20

let me try that again it is going to be ugly

Answer 21

so it would be a e i o u for the top line
and then 2 lines down from each letter