The numbers 1 - 9 are written on cards and placed in a bag. Find the probability of choosing a multiple of 3 or an even number. Enter your answer in simplified fraction form; example: 3/5.

Question

zepdrix · Answer

So we're going to count up the possibilities,
and then write that number OVER 9, right?

Cause we have a total of 9 possibilities.

zepdrix · Answer

multiples of 3 include: 3, 6, 9, 12, 15, 18, 21, ...
So which of these numbers do we care about?

ghosting · Answer

All of them, because they're looking for multiples of 3? @zepdrix

ghosting · Answer

i dont get it

anonymous · Answer

1 2 3 4 5 6 7 8 9

Even: 2 4 6 8
Multiples of 3: 3 6 9

So target numbers are: 2 3 4 6 8 9
There are 6 target numbers out of 9 total numbers.

anonymous · Answer

Assuming every number has an equiprobable change of being selected, we have: $$
\Pr(\text{even or multiple of 3})  = \frac 69=\frac 23
$$

ghosting · Answer

wait is 2/3 it? i just feel kinda dumb and don't know what's going on witht his question

anonymous · Answer

There are only 9 numbers, you count how many are even or divisible by 3. The number which meet this condition divided by the total number will give you the probability of meeting the condition.

ghosting · Answer

.... I am so sorry @wio But I am confused D: !! Okay only 9 numbers... then there are 6 numbers... are 3 are even, 3 divisible by 3. the last part I don't get...

ghosting · Answer

wait so.... 3.... divided by 9? is 3

ghosting · Answer

Unsure what my final answer would be...

ghosting · Answer

@wio

ghosting · Answer

@AloneS. @AloneS

anonymous · Answer

The answer is 2/3