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
Assoli18 [71]
3 years ago
10

You’re about to get on a plane to Seattle. You want to know if it’s raining. You call 3 random friends who live there and ask ea

ch if it’s raining. Each friend has a 2/3 chance of telling you the truth and a 1/3 chance of messing with you by lying. All 3 friends tell you that ""Yes"" it is raining. What is the probability that it’s actually raining in Seattle?
Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:

The probability that it is actually raining in Seattle is 26/27

Step-by-step explanation:

Here we have the probability that a friend is telling the truth = 2/3

The probability that a friend is telling a lie = 1/3

Therefore, if all three friends say "Yes" it is raining in Seattle, the probability that is actually raining is given by the probability that one of them is telling the truth. That is the complement that all are messing with their friend.

The probability that all are not telling the truth is;

P(All not telling the truth) = \frac{1}{3} \times \frac{1}{3}   \times  \frac{1}{3}  =  \frac{1}{27}

P(One is telling the truth) = 1 - P(All not telling the truth)  = 1- \frac{1}{27} = \frac{26}{27}

Therefore, the probability that it is actually raining in Seattle = 26/27.

You might be interested in
Amanda teaches the art of quilling to four students these students each teach the art of quilling to four other students if this
il63 [147K]

Answer:

341

Step-by-step explanation:

The number of people who know the art of quilting in each successive generation is

1, 4, 16, …

These numbers represent a geometric sequence where each term has the form

aₙ = a₁rⁿ⁻¹

In your sequence, a₁ = 1 and r = 4.

Then, the formula for your sequence is

aₙ = 4ⁿ⁻¹

Sum over five generations

The formula for the sum of the first n terms of a geometric series is

Sum = a₁[(1 - rⁿ)/(1 - r)]

Sum = 1[(1 - 4⁵)/(1 - 4)

       = (1 - 1024)/(-3)

       = -1023/-3

       = 341

If the process continues for five generations, 341 people will know the art of quilting.

4 0
3 years ago
Read 2 more answers
Which point is between polnts C and E?
Sever21 [200]

Answer:

S

Step-by-step explanation:

3 0
3 years ago
2. Three bells P, Q and R ring at intervals of 40, 48and 60 minutes respectively. If they ring together at 6.15 a.m. when will t
MAXImum [283]
They will ring again together at 10:15am. Because the common factor for 40, 48 and 60 is 240, which means 240 minutes, that equals to 4 hours. Hence 4 hours after 6.15am is 10.15am.

Hope this helps.
5 0
3 years ago
At a garage sale, Susan found a vase for $5. She was able to negotiate the price of the vase to $4.
qaws [65]

Answer:

20% off

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, th
marta [7]

Answer:

How many diet sodas there are in the fridge compared to how many regular sodas?

Step-by-step explanation:

A ratio is a comparison of two quantities. You could represent how many diet sodas there compared to how many regular sodas as a ratio.

I think you were trying to ask about the Flocabulary question, right?

I had it too and got it correct.

3 0
2 years ago
Other questions:
  • Math 8: Linear Functions, Part 2
    7·1 answer
  • Carrie will spin a spinner 4 times.
    11·2 answers
  • Determine the equation of the line shown in the graph: x = 3 y = 3 y = 0 x = 0
    12·1 answer
  • Y-3=1/2 (x+4) in standard form
    6·2 answers
  • What fraction of an hour is 10 minutes?<br><br> Give your answer in its simplest form.
    15·2 answers
  • Can someone please help me asap?
    11·1 answer
  • Ethan is designing a new board game, and is trying to figure out all the possible
    13·1 answer
  • How do I do this question?
    6·1 answer
  • What is the area of a traingle with base as 2cm and height as 7cm?
    14·2 answers
  • What is an estimate for the square root of 150? (Do not find the exact value) Show work
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!