Question

Probability help, picture attached.
I need help with Question 6b, all of 9 as I can't draw the whole diagram and 12d.

Answer 1

12 d?

Answer 2

i circled it in red.

Answer 3

that one we can do as follows:
you flip the coin 5 times
there are two choices (H or T) at each toss, so by the counting principle there are
\[2\times 2\times 2\times 2\times 2=2^5=32\] elements in the sample space, i.e. 32 possible outcomes
you need to know how many of these have no consecutive heads or tails
is it clear what these would look like?

Answer 4

yes, I figured out there would be 32 possible outcomes just like you did but how many " consecutive heads or tails" are there? because I was thinking to use this method of 1-(the number of consecutive heads or tails) which gives u the no consecutive heads or tails.

Answer 5

the way i read it, "no consecutive tosses have the same result" means that they switch each toss
one possibility is
H T H T H
i think there is only one more, check

Answer 6

so it is just two possibilities the one you just stated H T H T H and opposite of it T H T H T?

Answer 7

that is what i think, yes
i can't think of another with all consecutive outcomes different

Answer 8

ok, ur probably right and thanks.

Answer 9

yw

Answer 10

can you help me out with the others?

Answer 11

first problem is even easier
think of the most socks you can pull out where they are all DIFFERENT, then add 1

Answer 12

wait, I'm still confused lol. I don't get how you figure out how many of the "most socks" you can pull out where they are all different and why do you add one?

Answer 13

ok lets say you had 10 different colored socks
you start picking them out
question: what is the most socks you can have where they are all different colors?
answer: ten, because you have ten different colors

what happens when you pick the eleventh sock?
it must be some color right? and so it must be the color of a sock already picked

Answer 14

in that example, if i have ten different socks, then if i pick eleven i am damned sure to have at least one match

Answer 15

oh k I think I got it now, so it's 13?

Answer 16

how many different colored socks do you have?

Answer 17

12?

Answer 18

??

Answer 19

i count three different colors
red, black, white

Answer 20

oh... just the colors.

Answer 21

right

Answer 22

don't think too hard for this
if you have three colors and 4 socks, at least one must be a repeat yes? try it and see

Answer 23

yes, I got it now lol, yeh I guess I was over thinking. Can you also help me out with Question 9?

Answer 24

Could you also draw a Venn Diagram for it? I believe it is the one with three circles.

Answer 25

i cannot do it here, but you need a venn diagram yes

Answer 26

use the "Draw" tab below?

Answer 27

try it, it is going to be a royal pain, but you can do it

Answer 28

you can just copy my drawing by clicking on the "Draw" tab and then click "Copy previous drawing"

Answer 29

@JayDS here is what you do
copy and paste your question (just #9) in a new thread
you will get lots of answers
but do not make people open it, just copy and paste the words