Examples: Probability- 1 Video Lecture | Mathematics for BMAT (Section 2)

hello friends this video in probability
part 5 is brought to you by exam viacom
no more fear from exam before watching
this video please make sure that you
have watched part 1 to part 4
let's take home example a jar contains
five red marbles
yeah a yellow marbles and for neurons
one marble is taken out at random what
is the probability that the Marmon taken
out is red yellow on so let's draw once
this my John has five red then a cello
and four blue marbles from this I take
out one month we have to find that the
probability it is right so here if you
see primality of Ryder will be nothing
but favorable outcome by total number
about to correct what is the railroad
coverage how many rides are there one
two three four five so there are five
possibilities that it will be ready go
to number outcome total number or thumb
is nothing but total number of Marvis
that is five plus eight five raid eight
year low and smooth this comes out to be
five by seven key so my probability of
red is five by seventy columns on second
thing is from rarity of yellow yellow
ball here was the same thing
favorable outcome by total number of
outcome so what is the favored outcome
here for yellow they are eight yellow
marbles so I will say eight Yanomami as
you can see here a by total number of
muhammad's is seventeen we have done
their invention this is also the
probability of not group so to find
preventative notebook loop plus first
findability of loop here of same thing
favorable outcome by total number of
outcome
for blue they are 4 blue marbles you can
see over by total number of odd outcome
is 17 because they are total number of
70 malas so it is 4 by 17 now we have to
find probability of not blue this is
nothing but 1 minus probability of blue
simple formula so this becomes 1 minus 4
by 17 and this is nothing but 13 by this
is 13 by 70 so I have got probability of
red 5 by 17 priority we allocate by 17
well T of not blue 13 by 7 that is nice
very simply this understand the problem
put the values candidates thing is the
concept should be clear in all the
probabilities same formula favorable
outcome by 2 lambda we will take one
more example a piggy bank and tense 50
peso coin 50 one rupee coin 50 paisa
coin 50 peso coin and 2 rupee coin and
10 rupees it is equally likely that one
of the coin will fall out when the bank
is turned upside down we have to find
the flow belfie the coin is 50 paisa and
not see this is my piggy
so in this piggy bank I have 50 paisa
in 200 piece a 100 piece here as a
quantity then I have one will be in 250
piece correct 2 rupees in 220 psi and 5
rupees I am how many 10 days total point
it would be 100 plus 50 150 170 n 180
so they are 180 coins number isn't it so
you're 180 coins in this sum is 50 paisa
1 rupee to reason is one rupee to DP by
Rho P and this is point 5
rs.50 therefore where it is a point in
there and number of noise 180 member
earns now we have to find the
probability that it will be a 50 peso
coins for worthy of 50 pairs again same
formula here see the rebel outcome by
total outcome so favorable outcome for
50 by 100 because there are hundred 50
paisa coin so this is 100 total outcome
is their total of 180 coins so total
outcome is 180 so it is five nine column
so second thing is poverty it is not a
fighter Bitcoin the first thing we have
do is to find quality of non fine will
be going first we have to find row
Verity of 5 rupees coin and then we can
find the priority of non 5 this time so
here also provide your final Bitcoin is
nothing but favorable outcome by total
outcome what is a favorable outcome for
fiery disc when they are 10 5 rupees
coins for 10 total of our coin is 180
210 by 180 that this one by ETA now
probability of not fire release coin is
nothing but 1 minus poverty of 5 this
point correct this formula below so this
comes out to be 1 minus 1 by 80 that is
17 by 80 and that is my concern so I've
got this x over 80 or 50 paisa is 5 by 9
and quality of not 5 is minus 17 by just
we wrote all the quantities total
quantities favorable outcome for 50
paisa is hundred because they are 50
paisa coin if a level outcome for fire
bitcoin is 10 because their 10 number
and total number of outcomes 180 because
they are total money any comments let's
take some card problem before we take
the car dollar mix understand in a
particular card we have 39 months 30 hot
13 club and 13 speed and we have
three-phase jqk the fishes are jacob'
only and these are 1313 each total
number of card is 52 13 diamond 13 red
heart 13 Club cut in spread so 26 red 26
Lac environment we have AJ kq1 tonight
in all we have a JK q 1 to 9
his are only JK q a is not this basic
thing you solve any card problem if you
don't understand this you won't be able
to solve any card from let's understand
it's in the car you have 52 cards 13 our
diamond 13 heart 13 clock cutting-spade
in 13 diamond we have a JK hue and 1 to
9 similarly in Hot Club and spin we have
a JK q 10 and 9 and when you say faces
be safe j k ng the first question say is
that we have to find the priority of
getting the red color King red color
King so if you see there how many get
working this is one red color King and
there is one literally one for time and
one for heart so if you see a variety of
red king same phenomena use that is
favorable outcome by total outcome so
from this whale stuff 52 cards we take
out one come correct we take out one
card so favorable outcome can be 2
because they are 2 red King and total
outcome is 52 because they are 52 cards
so this clarity comes out to be 1 by 21
partners so on the second says find the
face card over into your face card same
here also favorable outcome by total
outcome
how many face card possible three-phase
current this is 3 my total number of
cards we have 52 3 by 60 sorry we have
12 face card why
jkq we have an e JK q have four Asian so
we have three phase card here sorry C
phase got here 3 here 3 here and 3 here
so we have 12 face cards so we have 12
by 15 that comes out to be 3 by so
probability of face card is 3 by 30
where is it but because we have 12 face
card and total about covers
next is red face card it's red face here
of the same formula favorable outcome by
total outcome so what is the favored
outcome red face count how many we have
JK q here JQ here you have six red face
card that is six and total outcome is
again 52 so this comes out to be 3 by 26
this problem is also solved then we have
Jack of Hearts spell see Pro Verity of
China calm not so Jack of heart we have
only one this guy Jack of heart so here
also same formula favorable outcome by
total outcome so favorable outcome is 1
here because only 1 Jack of heart and
total outcome is 52 so the answer is 1
by P this is problem nervous on
preventing of spade so how many spade we
have we have actually 13 speed if you
see there 13 speed so here now same
thing favorable outcome by total outcome
so does favor outcome 30 total outcome
is 50 do certain if we do that is 1 by
that is and then we have queen of
diamonds super energy of
we know diamond here same formula she
very well outcome by
total outcome what is it now probability
of what is a favorable or comfort queen
your payment there is only one tune of
language right one by 52 and that is
money dance thank you visit exam viacom
to watch free education videos try free
online tests get the best quality study
materials study from the best tutors and
mentors and much more thanks again