Question

A mini license plate for a toy car must consist of a two letters followed by a one digit odd number. Each letter must be a J or a Z. Repetition of letters 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 a Z. Give solution exactly in reduced fraction form

Answer 1

i would say there are 20 possibilities, since there are 5 possible numbers times 2 possible numbers times 2 possible numbers again

Answer 2

so i would draw a tree that has two branches to start

Answer 3

j and z right

Answer 4

then each of those branches should have two branches

Answer 5

then each of those four should have 5 branches each
(and yep j and z)

Answer 6

then if you count the possibilities at the top of the tree you have 20

Answer 7

is that clear?

Answer 8

so what would it be.. 1 3 for second line and then the 5 lines under that would be 7, 9 11 13 15

Answer 9

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Answer 10

how about that?

Answer 11

not a great tree tho to be honest

Answer 12

lol so 1 and 3 on line 1j and 1z then 5,7,9,11

Answer 13

well the two single lines up from the star are j and z since those the two possibilities for the first character

Answer 14

each of those lines has a "j line" and "z line" linked to it and then the final bunches of 5 lines are the odd numbers less than ten

Answer 15

oh ok...

Answer 16

Yes its the same as the png but vertical!

Answer 17

er same question different person, lol. I just did this one with someone else :D

Answer 18

Here is a horizontal version of the same tree
\[attached\]

Answer 19

i got this one done... :) thank you ..