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
Sholpan [36]
3 years ago
11

Alice and Bob each choose a number uniformly (and independently) from the interval [0, 10]. What is the probability that the abs

olute value of the difference between their two numbers is less than 1/4
Mathematics
1 answer:
Neko [114]3 years ago
8 0

Answer:

The probability is zero (0)

Step-by-step explanation:

Given;

interval of numbers to be chosen = 0, 1, 2, 3 , 4, 5, 6, 7, 8, 9 , 10

total possible outcome = 11

The possible numbers whose absolute difference is greater than ¹/₄ includes the following;

(0,1), (1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,9), (9,10), (10,0)

The probability of this = 11 / 11 = 1

The probability that the absolute value of the difference between their two numbers is less than 1/4

P(less \ than \ \frac{1}{4} ) = 1 - P(greater \ than \ \frac{1}{4} )\\\\P(less \ than \ \frac{1}{4} ) = 1 - 1 \\\\P(less \ than \ \frac{1}{4} )  = 0

You might be interested in
What number is greater 0.111 or 1.001. also 1.11 or 1.01
Paul [167]
1.001 is greater than 0.111 because the 1 is automatically greater than zero.  1.11 is greater than 1.01 because there is a place in the tenths place in 1.11 but none for 1.01.
4 0
3 years ago
Read 2 more answers
Help me find the answer
solmaris [256]
I possibly think it is c that is what I got
8 0
3 years ago
Solve for w.<br> 8= 4 + w
Yuri [45]
W=4 that the answer !!!!!
3 0
3 years ago
One hundred and sixty-two thousandths as a decimal​
lapo4ka [179]

Answer:

100.062

Step-by-step explanation:

100 + 62/1000 = 100 + 0.062 = 100.062

8 0
2 years ago
Read 2 more answers
What value should go in the empty boxes to complete the calculation for finding the product of
AnnZ [28]
61*40=60*40+1*40=2400+40=2440.
Therefore [] is 4
8 0
3 years ago
Read 2 more answers
Other questions:
  • At a local store you find the following prices listed:
    6·2 answers
  • If 8y-8=24 find the value of 2y
    15·2 answers
  • 12/15,3/4,3/12 as a decimal/ how to get the answer
    15·1 answer
  • Based only on the information given in the diagram it is guaranteed that RST UVW
    7·3 answers
  • Find the value of x.<br> (2 + 3x)
    9·1 answer
  • EMERGAnCY NEED ANSWERS NOW!
    10·1 answer
  • Solve the system of equations by multiplying first. Enter the solution as an ordered pair.
    13·2 answers
  • Put it in order yes or no?and how do yk if it is or not
    7·2 answers
  • How to solve it?pls help​
    13·1 answer
  • Select the correct answer from each drop-down menu. Consider this system of equations: (equation A) (equation B) The solution fo
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!