Intelligence Question

salam friends
khubi ?
let me see the Intelligence of you with this

There are three persons different with tall are standing behind each other
the shortest is Mona ,Bahareh is taller than Mona ,Jany is the tallest

whereas Mona is standing in front of others and can’t see them ,and Bahareh is standing behind Mona and sure she can see Mona ,but she can't see Jany . Jany the tallest is standing behind Bahareh and sure s/he can see both Mona and Bahareh

then I came with my basket which has 5 hats ,2 of hats are white and 3 of them are red.

After I had put on the hats on their heads
I asked Jany : do you know the color of your hat ?
Jany replied :no " wow Jany you could see the color of other hats and you couldn't know the color of your hat !!!!"
Then I asked Bahareh :do you know the color of your hat ?
Bahareh replied :no
Then I asked Mona :do you know the color of your hat?
Mona replied confidently :sure yes

if you were Moan would you have that confidence
if you have ,tell me now what the color of Mona 's hat and how u knew

salam all
khubi ?
Ali u have the beginning of the rope ,afarin for u
for alittle help ,remeber that i asked 2 person and replied "no"
u have 1 week before i say the solution then u will lose the prize which is
two tickets to Sy ,but u should come here Sy before to have them
khoda hafez

before i begin i don't want any comment about my persian writing

let 's assume
Jany = J ,Bahareh = B ,Mona = M
Red =R ,White =W

we have just 2 color either red or white and the red is 3 and white is 2
so it is one of these probabilities
(J R,B R,M R) (J R,B R,M W) (J R,B W,M R) (J R,B W,M W)
(J W,B R,M R) (J W,B R,M W) (J W,B W,M R)
so when i asked Jany
Jany would say yes if Jany just saw (B W,M W) but Jany said no so
the color of both Baharh and Mona are
(J R,B R,M R) (J R,B R,M W) (J R,B W,M R)
(J W,B R,M R) (J W,B R,M W) (J W,B W,M R)
so we can say one of following thing
(B R,M R) (B R,M W) (B W,M R) so also Bahareh if she saw the color
of Mona was white ,Bahareh would be sure that her hat is red
but unfortunately she said no so we just have these 2 probabilities
(B R,M R) (B W,M R) wow and bcause Mona so smart she noticed that
and answered confidently ghrmez

hey Saghar don't tell me that u didn't understand


,think alittle and u will find it urself
khoda hafez dears