Probability Tricks & Statistics - Probability Video Lecture - Class 9

[Music]
now come to some of to dices to dices
are a rolled what is the probability of
getting a sum of two three four five six
and so on if to dices are thrown what is
the minimum possible some definitely
what is the minimum number on first dice
it is one and on the second die it is
also one first dice and second dice if
minimum number is one and one so what is
the sum sum total will be one plus one
it is - this is the minimum sum then one
and second dice is showing - what is the
sum total 1 + 2 3 first die 1 second die
3 that is 4 then 3 Chabad for it is 5
then 5 that is 6 then it is 1 and it is
6 the sum total will be 7 second die
will show maximum number 6 this is
minimum this is maximum second if this
is variable then what will happen this
is fixed this die it is 1 then the
numbers will be repeated 1 1 this is
called symbol space 1 1 1 2 1 3 1 4 1 5
1 6 then 2 - 1 - 2 - 3 - 4 - 5 - 6 right
- 1 - 2 - 3 and so on the total then 3 3
1
3 2 3 3 3 4 3 5 4 1 4 2 4 3 v 1 v 2 v 3
6 on 63 if you plot all these numbers it
is called a sample space is core sample
space bola ziege so what is the Sun some
minimum kitna high - and what is the
maximum some when first die show 6
second I also show 6 6 plus 6 it is 12
this is the maximum possible some with
the to die now what is the probability
of getting this to someone a key 3
someone a key 4 5 6 7 decipher math for
let our first 4 what is the probability
of getting some 443 types after the k13
it is giving me four to two it is also
giving me 4 3 1 it is also giving me
four so there are three cases of getting
a sum for what is the probability of
getting some 6 it is 1 5 it is 6 and
second is this is minimum second number
is 2 so it should be 4 to +4 it is 6 so
there are only one more 3 3 then 4 to 3
3 & 4 2 so there are total two cases
this and two cases this five one one
more 6 1 2 3 4 5
total 5 cases are there of getting us
some 6 getting it a witness sorry number
- Atta hi what is the probability of
getting some 3 or 7 some 2 or 5 like
that even number 2 dices or phone what
is the probability of getting even
number some should be even some should
be even means some should be 2 4 6
that so Skelly a one shortcut is there
one diagram which is giving me the best
possible way to memorize see here just
make a triangle it is like this here you
should write some here should write
probability this is some what is the
minimum possible some it is 2 2 3 4 5 6
7 then 8 then 9 10 11 and 12 1 2 3 4 5 6
7 8 9 10 11 total 11 numbers are there
so agar may 5 or do 5 there sure do what
is the middle one middle one is 7 so you
should write here this is some 7 at the
top here then 2 3 4 5 6 7 8 9 and 11 and
12
some 2 3 4 5 6 7 8 9 10 11 12 what is
the probability probability number Kelly
a you should simply write here
probability here you should write 1
because there is only one case of
getting some to some dough I was
catchable a key case possible hi then
write 1 2 3 4 5 6 then reduce it 5 4 3 2
1 the best way to memorize if it is
asked what is the probability of getting
some 6 simply the answer is 5 by 36 when
every five cases of conical cobot lie
they I have explained with the sample
space what is the probability of getting
some 10 what is the answer 3 by 36 why
this is 36 because with the to die
this total outcome will be six outcomes
from first nice second six outcome from
second i66 our 36 total number of cases
will be 36 pull output tumko putnam
milling a 36 so this is total number of
cases number of favorable cases divided
by total number of cases what is the
probability of getting some some 5 or 11
so simple for by 36 or or means plus 2
by 36 this is your answer 6 by 36
simplify so memorize this triangle sum
of two dies very easy to memorize most
important
similarly sum of 3 dices most important
what is the minimum sum 1 1 1 the
minimum sum with the 3 dices will be 3
and maximum sum 6 6 6 that is 18 minimum
maximum maximum sum will be 18 right
maximum so what is the probability sum
will be 3 4 5 6 7 8 9 10 11 12 15 16 17
and 18 total 1 2 3 4 5 6 7 8 9 10 11 12
13 14 15 16 numbers are there half
career 16 car 8 1 2 3 4 6 7 8 leave it
then 1 2 3 4 5 6 7 8 so what is there
are two peaks make the same way triangle
but now it is like this figure there are
two peaks corresponding to 10 sometime
and some 11 here same program some here
it is probability price initial okay
minimum some 3 3 4 5 6 7 8 9 10 11 12 13
14 15 16 17 and 18 but here the total
outcomes will be 6 into 6 into 6 total
divided by 2 1 6 here this is the first
case it is 1 only 1 case 1 case some is
possible is 3 1 1 1 k.will a case may to
tell some ki God
3 then skypod may become maha in dono
k-beach may yahweh apple Konoha in
k-beach my cha - Cha Cha's may 2 then 3
then 4 plus 4 then plus 5 then plus 6
then reduce it plus 4 and then plus 2
that is all two three four five six then
four and two it limit that rice cracker
six then four end to Yaakov Ostia
drachma now one may to add Khadijah what
is it 3 3 plus 3 what is it 6 6 plus 4
what is it 10 10 plus 5 what is it 15 15
plus 6 what is it
21 21 plus 4 what is it 25 25 plus 2
what it is it is 27 that's all now
reduce it 27 27 25 25 21 21 15 10 6 3 &
1 again once again sum is 3 4 5 6 7 8 9
10 11
there are two centers
then up to 18 some is what is the
probability only one is the probability
of getting some three then two three
four five six four to give us six the
Christ Kirk a 402 up we Akana six what
is 6 4 plus 2 minus a Atiyah 4 plus 2 is
6 1 plus 2 3 3 plus 3 6 6 plus 4 10 10
plus 5 15 plus 6 21 plus 4 5 25 plus 2
27 then is called you score DJ potion is
what is the probability of getting a sum
13 when three dices are rolled what is
your answer 21 by 2 1 6 3 dices are
rolled T in pass a fake age at a hey yo
go 15 i-10 by 2 1 6 Saul Kirk answer
some 8 yeah 17 I 21 by 2 1 6 plus 3 by 2
1 6 e DJ this Gerasa sum should be even
some should be odd prime number anything
you should simply memorize this trick
most important
you