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
kifflom [539]
3 years ago
11

You have two biased coins. Coin A comes up heads with probability 0.1. Coin B comes up heads with probability 0.6.However, you a

re not sure which is which, so you choose a coin randomly and flip it. If the flip is heads, you guess that the flipped coin is B. Otherwise, you guess that the flipped coin is A.What is the probability that your guess is correct?
Mathematics
1 answer:
Andrews [41]3 years ago
7 0

Answer:

The probability that our guess is correct = 0.857.

Step-by-step explanation:

The given question is based on A Conditional Probability with Biased Coins.

Given data:

P(Head | A) = 0.1

P(Head | B) = 0.6

<u>By using Bayes' theorem:</u>

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

We know that P(B) = 0.5 = P(A), because coins A and B are equally likely to be picked.

Now,

P(Head) = P(A) × P(head | A) + P(B) × P(Head | B)

By putting the value, we get

P(Head) = 0.5 × 0.1 + 0.5 × 0.6

P(Head) = 0.35

Now put this value in P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)} , we get

P(B|Head) = P(Head|B) \times \frac{P(B)}{P(Head)}

P(B|Head) = 0.6 \times \frac{0.5}{0.35}

P(B|Head) = 0.857

Similarly.

P(A|Head) = 0.857

Hence, the probability that our guess is correct = 0.857.

You might be interested in
Find q if p = -12 and the quotient p/q = -3.
s2008m [1.1K]

The quotient to p/q = -3 is 4

3 0
2 years ago
Solve for n. 24 = 3(n -5)​
Masteriza [31]

Answer:

n=13

Step-by-step explanation:

24=3(n-5)

24=3n-15

-3n=-24-15

-3n=-39

n=13

8 0
3 years ago
What are the coordinates of the image of point A after the segment has been dilated by a scale factor of One-fourth with a cente
Vlada [557]

Answer:

Q=(0.4.-1.7)

R=(2.4. 9.3)

S=(-10.6. 7.3)

Step-by-step explanation:

Just did it and got it wrong and these are the correct answers

6 0
3 years ago
Read 2 more answers
53.01 as a mixed number
elixir [45]
53 1/10 is the mixed number
5 0
2 years ago
Read 2 more answers
Which table shows the reflection of f(x) across the y-axis?<br> answer 4 brainliest
larisa [96]

The Correct graph is fourth one !

7 0
2 years ago
Read 2 more answers
Other questions:
  • What is the interquartile range of this data?<br><br><br> 5<br><br> 8<br><br> 13<br><br> 17
    9·1 answer
  • I need help, The temperature was 2°F below zero. The temperature drops by 5°F. What is the temperature now? What is the initial
    14·2 answers
  • Max is reading a book. He has already read 1/4 of the book. If he stopped at the top of page 67, how many pages are there in the
    5·2 answers
  • Top soil is sold by the cubic yard. How much top soil, to the nearest cubic yard, is needed to create a flower bed with soil 4 f
    15·1 answer
  • Marks age, X is six times his age 2 years ago. which equation represents the statement
    14·2 answers
  • What are the coordinates of vertex F of parallelogram FGHJ?
    13·2 answers
  • Calculate the length of the circumference of a circle with radius of 4.5cm <br><br> Pie=3
    7·2 answers
  • PLEASE HELP ME ASAP BECAUSE I AM SLOWLY LOSING MY MIND-
    8·2 answers
  • Help pls!!!!!
    5·2 answers
  • Im stuck on this to could you guys explain how you do this
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!