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Prerequisites

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PREREQUISITES
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|9:41 -Ill ? (G
< Introduction to Probability
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Probability is the business of decision
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What's your goal
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What is Allset?

Allset is a marketplace connecting

restaurants and local diners. It provides

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contactless dining solutions to serve their

customers commission-free.

Customers use Allset to order ahead at

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and healthy. Local diners support

restaurants with commission-free orders

for pickup, curbside, and dine-in.

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have to find all the weights. What can you
infer from the relationships among them?
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Different people work at different speeds.
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Insurance

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Summary
Policy Number 340851699490
Insurance type Included with Metal
Region Worldwide
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Emerg. medical assistance: Actual Cost

Emerg. dental treatment: $$2,000

Continued treatment: ® $$200,000

Baggage delay: ® $s$1,000

Lost or damaged baggage: ® $$5,000

Personal accident: ® $$100,000

Compassionate visit: ® $$5,000

Max trip length: 90 days
This insurance is underwritten by Tokio Marine Insurance Singapore
Ltd., with assistance services provided by AWP Services Singapore
Pte. Ltd.

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|12:00 P41
€ Travel Insurance
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+ Emergency medical assistance when abroad
" Emergency dental treatment when abroad
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mm Continuation of treatment when returning to
Singapore
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|9:41 all © @
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Junior

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Lounges

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Abuija, Nigeria

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Taking a daily challenge

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Daily Challenge Close
After some confusion at the
finish line, it's unclear what the
final finishing order was, but
this information is known:

1. Dara finished before
Amelia.

2. Boris wasn't third.

3. There were two runners
between Amelia and
Carlos.

Who won the race?
Amelia Boris Carlos Dara

- N
|Daily Challenge Close
After some confusion at the
finish line, it's unclear what the
final finishing order was, but
this information is known:

1. Dara finished before
Amelia.

2. Boris wasn't third.

3. There were two runners
between Amelia and
Carlos.

Who won the race?
Boris Amelia Dara
L
Z P
) "///0' v t,.
|Daily Challenge Close
Incorrect
Difficulty: 6

Amelia
Boris
Dara
There's not enough information to
determine who won.

Show explanation

. ]
|Daily Challenge Close
Who won the race?
Boris Amelia Dara
- \‘
. b Z
5, ad ‘i.
Difficulty: 6
Amelia
Boris
Carlos
Dara
There's not enough information to
determine who won.
|Daily Challenge Close
Who won the race?
Boris Amelia Dara
- \‘
. b Z
N, ad ‘i.
Difficulty: 6
Amelia
Boris
Carlos
Dara
There's not enough information to
determine who won.
|Daily Challenge Close
Suppose that in a race among Amelia, Boris,
and Carlos, we only know one fact — that
Boris finished before Carlos. What are the
possible orders for the entire race? Keep
reading to see some reasoning we can use,
or jump ahead to today's challenge for a

Keep reading ~

]

Today's Challenge
Four runners compete in a race
— Amelia, Boris, Carlos, and
Dara.

After some confusion at the
finish line, it's unclear what the
final finishing order was, but
this information is known:

1. Dara finished before

Amelia.
|Daily Challenge Close
We can start by thinking about a single
unknown factor in the problem: "Where did
Amelia finish?" To see this logic
demonstrated, use the arrows below the
figure:
Amelia Boris
. b A Y F ”/: '*///'.
Carlos
f"‘?
-
< >
Let's consider the possibility that
Amelia finished last. If Boris finished
before Carlos, then Boris must be
first.
Since we know the relationship between
|Daily Challenge Close

Suppose that in a race among Amelia, Boris,
and Carlos, we only know one fact — that
Boris finished before Carlos. What are the
possible orders for the entire race? Keep
reading to see some reasoning we can use,
or jump ahead to today's challenge for a
trickier problem.

FEATURED COURSE x

Logic

Stretch your analytic

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We can start by thinking about a single
unknown factor in the problem: "Where did
Amelia finish?" To see this logic
demonstrated, use the arrows below the
O

o
|Daily Challenge Close
We can start by thinking about a single
unknown factor in the problem: "Where did
Amelia finish?" To see this logic
demonstrated, use the arrows below the
figure:
Amelia Boris Carlos
' \\\‘/ ‘7 ,///: ‘/// "?
d \ L
Use the arrows to view the solution
step by step.
Since we know the relationship between
Boris and Carlos, Amelia's position in the
race complet ehmdabasaainadils entire
|Daily Challenge Close
There is only one way these conditions can
be satisfied without conflicts, so we have
only one solution.
In the problem below, you'll be putting
together information like this, but with five
runners instead of four. Can you use logic to
figure out the order?
1
Today's Challenge
Four runners compete in a race
— Amelia, Boris, Carlos, and
Dara.
After some confusion at the
finish line, it's unclear what the
final finishing order was, but
this information is known:
1. Dara finished before
|Daily Challenge Close
Since we know the relationship between
Boris and Carlos, Amelia's position in the
race completely determined the entire
finishing order. There are three possible
total finishing orders — one for each of the
positions in which Amelia can finish.
What if we add another runner to the race,
Dara, and have a more complicated
scenario?
Dara finished more places ahead of
Amelia than Boris finished before Carlos.
We can start by again thinking about an
unknown — "How did Boris and Carlos
finish?"
Amelia Boris Carlos Dara
»ﬂ» :*/ ?‘ 5
pol § S '\,//, - 2
\
|Daily Challenge Close
We can start by thinking about a single
unknown factor in the problem: "Where did
Amelia finish?" To see this logic
demonstrated, use the arrows below the
figure:
Amelia Boris
ad ‘{. -‘/’/x
o
< >
Let's consider the possibility that
Amelia finished last. If Boris finished
before Carlos, then Boris must be
first.
Since we know the relationship between
|Daily Challenge Close
Difficulty: 6

Amelia
Boris
Carlos
Dara
There's not enough information to
determine who won.

Show explanation

. ]
|Daily Challenge Close
We can start by thinking about a single
unknown factor in the problem: "Where did
Amelia finish?" To see this logic
demonstrated, use the arrows below the
figure:
carlos Boris Amelia
r’? ;s ' \\iﬁs
L d \
CGEEED GEEED GEEED GEEED GEENTD
< >
Let's say Amelia finished first. This is
still possible, since it doesn't
contradict Boris finishing in front of
Carlos. We have three ways the
runners could finish.
Cince we knot o e e 5 hotween
|Daily Challenge Close
MATH AND LOGIC
Race?
SERIES 1 2 3
How much information do you need to find
the finish order of a three-person race? It
turns out, not much at all.
‘::\/: s
| -

.
1 ——
Suppose that in a race among Amelia, Boris,

and Carlos, we only know one fact — that
Boris finished before Carlos. What are the
possible orders for the entire race? Keep
reading to see some reasoning we can use,
or jump ahead to today's challenge for a
rrr————b o reading -
|9:41 all ¥ @m
MATH AND LOGIC
Who Won the Race?
o B
= 3 ‘> ’!
L7 i ///Ny "
o 4
We can sometimes use logic to stretch a little
information a long way. Can these small
clues tell us everything we need to know
about who won this competition?
170,111 people working on this Series 10of 3
Daily Activity
JULY 2022
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John Mobbin

+1(628) 267-9041
jhon.mobbin@gmail.com
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(:) Sold SGD to USD - 8$0.50
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12:00 P41
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Transactions
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= USD account
July 14, 2022 $1.06
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2 minutes ago -5$0.50
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Today, 1:28 PM - 881
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‘ Cash balance S$14
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12:00 P41
€ Analytics
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Day to day payments Scheduled payments
8825 S$0
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Category Merchant Country
* United Kingdom $$19.99
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@ Other S$5.50
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# General S$$19.99
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|12:00 P41
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P Budget SS0 left
S$$21.99 overspent of S$5
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July 17.
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Category Merchant Country
R Metal plan fee S$19.99
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