1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotykmax [81]
2 years ago
12

Alice and Bob have two positive integers, x and y respectively, glued to their foreheads, so that each can read the other’s numb

er but not their own. They also know that |x − y| = 1. The following conversation is overheard between Alice and Bob:
Alice: I don’t know my number.
Bob: I don’t know my number.
Alice: I don’t know my number.
Bob: I don’t know my number.
They say this to each other 200 times. And then we overhear them say: Alice: I know my number! Bob: I know my number too!
Can you explain the conversation and figure out the numbers x and y. You may assume that Alice and Bob each know that the other is extremely smart — so each is confident that if the other has sufficient information to deduce the answer then he/she definitely will.
Mathematics
1 answer:
vazorg [7]2 years ago
7 0

Step-by-step explanation: |x − y| = 1, ok lets play as Alice, my number is y, and the bob number is x.

the condition says that x-y = 1 or x-y = -1.

so, if you know x, then y = 1 +y or y = y - 1. so you have two possibilities.

let's see two cases : first, let's suppose there are no code in the conversation. Then the only way of being shure of your number, is if one of them have the lowest positive number, so the other should have the next one. So if Bob have the number one, Alice knows for shure that she has the  2. Bob knows that she has a 2, but that means he could have a 1 or a 3, but when he sees that Alice is shure about her number, he knows that his number is the 1.

the second case is where the conversation may be a sort of code, saying a phrase x times and changing when x = the number of the other person, in this case, bob will have the 201 and alice the 202.

You might be interested in
Amy pays $25 to enter a state fair, plus $3 for each ride. Which of the following equations represents her total cost?
ella [17]
Y = 3x + 25 <== ur equation
7 0
3 years ago
Read 2 more answers
If a and b are independent events with p(a) = 0.05 and p(b) = 0.65, then the conditional probability p(a |
alukav5142 [94]
Two events are said to be independent when the occurence of one event does not in any way affects the occurence of the other event.

For independent events, the probablilty of event A happening given that event B has happened is given by the probability of event A happening.

i.e. P(a | b) = P(a).

Therefore, given that p(a) = 0.05 and P(b) = 0.65, then p(a | b) = p(a) = 0.05.
4 0
3 years ago
How many millimeters are in 9.8 hL
luda_lava [24]

Answer:

980,000 hl

Step-by-step explanation:

There are 980,000 milliliters in 9.8 hectoliters.

5 0
3 years ago
What is the equation of the line that contains the two points (0,-1) and (-1,-3)?
Nady [450]
The answer is in this picture

4 0
2 years ago
Read 2 more answers
Explain how you know that 88 is a solution to the equation 1/8x=11
zhuklara [117]
Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)
5 0
2 years ago
Other questions:
  • G.O has 3 orange picks for every 2 green. If there are 25 picks in all, how many picks are orange?
    10·1 answer
  • PLEASE HELP 20 POINTS AND BRAINLIEST
    7·1 answer
  • a car rolls backward from -2 to -10 m/s in 4 seconds. what is the acceleration. PLEASE HELP WILL GIVE BRAINLIEST
    9·1 answer
  • Which equation could represent the relationship shown in the scatter plot?
    15·2 answers
  • First person to answer this gets BRAINLIEST!<br> (Look at the photo for the question)
    11·2 answers
  • Hello pls help me with two of these questions;)
    5·1 answer
  • I literally need help with this question-<br><br> It’s ASA congruence btw<br><br> 20 points
    14·2 answers
  • Can anyone solve this?
    14·1 answer
  • Cuál es el radio de un círculo con diámetro de 47 mm​
    6·1 answer
  • Write the rules for determining the sign of the product when multiplying integers. Then, write (4 points)
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!