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
IgorLugansk [536]
3 years ago
12

Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car

d are colored black, and one side of the third card is colored red and the other side is colored black. The 3 cards are mixed up in a hat, and 1 card is randomly selected and put down on the ground. If the upper side of the chosen card is colored red, what is the probability that the other side is colored black
Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

You might be interested in
Paul is three times as old as Mary and Peter is four times as old as Mary,If the sum of their ages is 64, how old are Peter,Paul
uysha [10]
Let Mary's age be x.

Paul is three times as old as Mary, so Paul's age would be 3x.

Peter is four times as old as Mary, so Peter's age would be 4x.

The sum of their ages is 64
⇒ Paul's age+ Peter's age+ Mary's age= 64
⇒ 3x+ 4x+ x= 64
⇒ 8x= 64
⇒ x= 64/8
⇒ x= 8

Paul's age is: 3x= 3*8= 24

Peter's age is: 4x= 4*8= 32

Final answer: Paul is 24 years old.
Peter is 32 years old.
Mary is 8 years old.

Hope this helps~
7 0
3 years ago
Carmen drew this figure to represent the dividend of a division expression.What number is represented by the arrow?
Hunter-Best [27]

Answer:

The answer is 9

Step-by-step explanation:

All you need to do is divide the two numbers and you will get 9. Trust me I did this one:)

5 0
3 years ago
Read 2 more answers
How much do you need to subtract from 41/6 to get 6
Svetllana [295]
Well 41 divided by 6 is 6.8333333333333 so you just need to subtract .833333333333

I hope this answered your question
3 0
3 years ago
ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse
Murrr4er [49]
To form a linear pair means that when added, they equal 180 degrees.
but if they have equal measures....180/2 = 90...then they would both equal 90 degrees.....and 90 degrees is a right angle. 
So ABC and CBD are both right angles
6 0
3 years ago
Read 2 more answers
How to find an unknown angle in a quadrilateral
cricket20 [7]
Subtract the sum of the angles from 180 degrees to get the missing angle. For example if a triangle in a quadrilateral had the angles of 30 and 50 degrees, you would have a third angle equal to 100 degrees (180 - 80 = 100).
4 0
3 years ago
Other questions:
  • Select all of the expressions that are equivalent to 4√5
    10·1 answer
  • 3. An online video game tournament begins with 1024 players. Four players play in each
    14·1 answer
  • Fraction 2 over 3y = Fraction 1 over 4. y = ___?
    7·1 answer
  • Factorise each of the following algebraic expressions completely,
    13·1 answer
  • Please Hurry!!!
    5·1 answer
  • System of Equations: Solve for (x,y) given the system of linear equations "X 1 point
    11·1 answer
  • Gavin earned $12.58 and Niko earned $9.35 last week doing chores. They
    9·1 answer
  • "the total cost to buy 12 candy bars, if each one costs the same"
    10·1 answer
  • Help I'm justing learning about this and I don't know what to start or do​
    10·1 answer
  • Which expressions are equivalent to (1/3x + 2x - 5/3x) - (-1/3x + 5)​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!