Question

PLEASE I NEED HELP!

Answer 1

can you help me understand it?

Answer 2

@phi

Answer 3

You have to use the definition of "conditional probability" to answer these questions
the rule is
\[ P(A | B) = \frac{P(A\ and\ B)}{P(B)} \]

Answer 4

for example, the first question asks about
P(letter | menu)
which is read as "Probability of being a letter given that it leads to a menu"
you need to read the info, and pick out the probability of a button that is a letter and also leads to a menu.

Can you pick out that info ?

Answer 5

68/32?

Answer 6

68+32/32?

Answer 7

@phi

Answer 8

do you see the sentence that talks about a button that leads to a menu and is a letter ?

Answer 9

it is the 2nd to last sentence. what percent does it say ?

Answer 10

24

Answer 11

24 % which is the same as 0.24 as a decimal
that goes in the top
the bottom is P of menu
which statement shows the Prob of being a menu ?

Answer 12

0.32

Answer 13

so 0.24/0.32?

Answer 14

yes, and so the prob of letter given menu is 0.24/0.32
yes

Answer 15

oh ok thank you

Answer 16

that simplifies to ¾ or 0.75

now we have to do the next one.

Answer 17

ol would it be 8/28?

Answer 18

P(blue | menu)
Prob of blue given a menu

Prob of blue and menu (the top) is 8
Prob of menu is 32 (the bottom)
so 8/32 or ¼ or 0.25

Answer 19

oh yeah sorry I got confused ok thank you I think I can do the rest from now on thank you for your help :)

Answer 20

what do you get for
P(menu | letter ) ?

Answer 21

24/68?

Answer 22

0.35

Answer 23

yes. and I would change that to a decimal 0.353 (how many digits we need depends on how accurate we need to know the number)

Answer 24

oh ok thank you so much for your help :)

Answer 25

last one is 8/28 or about 0.286

now you can sort them small to big

Answer 26

yes thank you sooo much for your help :)