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
Maslowich
2 years ago
11

Suppose box A contains 4 red and 5 blue poker chips and box B contains 6 red and 3 blue poker chips. Then a poker chip is chosen

at random from box A and placed in box B. Now, a poker chip is chosen at random from those now in box B. What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?
Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Coin chosen from box B is red.

Event B: Blue poker chip transferred.

Probability of choosing a red coin:

7/10 of 4/9(red coin from box A)

6/10 of 5/9(blue coin from box A). So

P(A) = \frac{7}{10}*\frac{4}{9} + \frac{6}{10}*\frac{5}{9} = \frac{28 + 30}{90} = 0.6444

Blue chip transferred, red coin chosen:

6/10 of 5/9. So

P(A \cap B) = \frac{6}{10}*\frac{5}{9} = \frac{30}{90} = 0.3333

What is the probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.3333}{0.6444} = 0.5172

0.5172 = 51.72% probability a blue poker chip was transferred from box A to box B, given that the coin just chosen from box B is red

You might be interested in
If $a$, $b$, $c$, and $d$ are replaced by four distinct digits from $1$ to $9$, inclusive, then what's the largest possible valu
Alexxx [7]

Answer:

70

Step-by-step explanation:

  • for the value of difference to be largest, the minuend should be maximum(most possibly) and the subtrahend should be minimum

[in A-B=X, A is minuend and B is subtrahend ]

  • so, $a.b should be maximum. as there is a condition that 4 digits should be distinct, the product will be maximum if we choose 2 maximum valued numbers from the given numbers. so, one of them should be 9 and the other should be 8.

therefore, $a.b=9*8=72

  • as mentioned above, c.d$ should be minimum. this will be possible only when we choose  2 minimum valued numbers from the given numbers. so, one of them should be 1 and the other should be 2.

therefore, c.d$ = 1*2 = 2

  • hence, the difference = 72-2 = 70
  • thus,  the largest possible value of the difference $a.b - c.d$ = 70
7 0
2 years ago
A set of 6 number cards contain the numbers 2, 5, 7, 8, 9, and 11. Which ratio is less than the ratio of odd number cards to tot
Tamiku [17]

Answer:

Ratio = 2:3

Step-by-step explanation:

Given

Cards = \{2,5,7,8,9,11\}

Required

Ratio of odd numbers to total

First, list out the odd numbers

Odd = \{5,7,9,11\}

The card has 4 odd numbers out of a total of 6.

So, the ratio is:

Ratio = Odd : Total

Ratio = 4:6

Divide by 2

Ratio = 2:3

<em>Hence, the ratio of odd to total is 2 to 3</em>

3 0
2 years ago
HELP; PLZZZ GIVING 20 BRAINLIEST PLZZZ.
Andrew [12]

Answer:

Step-by-step explanation:

In the equation y=kx+1, k is the slope and 1 is the y-intercept.

To find the slope, use the formula k=y2-y1/x2-x1. To use this formula, you need two points. The first point, point M, is given to you. The second point can be the y-intercept, point (0, 1). Now, apply the formula to find the slope: k=3-1/1-0

k=2/1

k=2

We now have the equation y=2x+1.

The next step is to graph the line.

First, graph the y-intercept. Should look something like this: (star represents point. the point is on (0, 1).)

           |

           |

           *

------------------------------

           |

           |        

Then, use the slope to find your second point: (the point is on (1, 3)).

           |    *

           |

           *

------------------------------

           |

           |        

Draw a line through those two points and you have your answer!

6 0
2 years ago
Please help I'm desperate :(
zubka84 [21]

Answer:

x=5

Step-by-step explanation:

<u>Similar Triangles</u>

By looking at the construction of the figure, we can safely assume both triangles are similar, i.e. their internal angles are equal and their sides are proportional. Following the proportion of the heights and bases of both triangles we can set this relationship:

\displaystyle \frac{45}{36}=\frac{5x}{20}

Simplifying both fractions

\displaystyle \frac{5}{4}=\frac{x}{4}

Solving for x

x=5

8 0
2 years ago
For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).
Luba_88 [7]

Answer: Domain: (-∞, 0) U (0, ∞)

Step-by-step explanation:

\frac{12}{x} *-8x^{3}

=-96x^2

Domain: (-∞, 0) U (0, ∞)

7 0
1 year ago
Other questions:
  • Put in order from least to greatest: quart, pint, gallon, liter, cup
    13·1 answer
  • In △ABC , m∠A=53°,m∠B=17°, and a=27. Find the perimeter of the triangle.
    8·1 answer
  • Find the equation of a line that passes through (-2,4) and (1,-2)
    9·1 answer
  • Which list of ordered pairs represents solutions to x+y=2?
    5·1 answer
  • HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    15·1 answer
  • Is 3x+4y-7 an algebraic expression?
    10·2 answers
  • File attached<br> Will give brainliest
    15·2 answers
  • PLEASE HELP !! ILL GIVE BRAINLIEST !!
    9·1 answer
  • Algebra 1
    15·1 answer
  • 1. A bag contains four green gumballs, three blue gumballs, and two red gumballs, all the same size and shape.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!