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
Reptile [31]
2 years ago
10

Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probab

ility that the counter is not black is 3/4. The probability that the counter is not white is 2/3. Work out the probability that the counter is grey.​
Mathematics
1 answer:
Nastasia [14]2 years ago
7 0

Answer:

1/12

Step-by-step explanation:

<u>Needed information</u>

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

The sum of the probabilities of all outcomes must equal 1

<u>Solution</u>

We are told that the probability that the counter is <em>not</em> black is 3/4.  

As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>black by subtracting 3/4 from 1:

\sf P(counter\:not\:black)=\dfrac34

\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14

We are told that the probability that the counter is <em>not </em>white is 2/3.  

As the sum of the probabilities of all outcomes <u>must equal 1</u>, we can work out the probability that the counter <em>is </em>white by subtracting 2/3 from 1:

\sf P(counter\:not\:white)=\dfrac23

\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13

We are told that there are black, white and grey counters in the bag.  We also know that the sum of the probabilities of all outcomes must equal 1.  Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:

\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}

You might be interested in
PLEASE HELP ME!!!!!
solong [7]

The full workings for the house purchase you made on a mortgage are as follows:

1. Price of House = $499,000 (given)

2. Down Payment = $99,800 ($499,000 x 20%)

3. Amount Financed (Mortgage principal) = $399,200 ($499,000 - $99,800).

4. Monthly Payment = $2,522.94 (given)

5. Number of monthly payments = 360 months (30 x 12)

6. Total Payback = $908,258.40 ($2,522.94 x 360)

7. Total Interest = $509,058.40 ($908,258.40 - $399,200)

8. Assessed Valuation = $199,600 ($499,000 x 40%)

9. Real Estate Taxes (annual) = $6,047.88 ($199,600 x $3.03/$100)

10. Escrow Payment Per month (taxes & insurance) = $628.99 ($6,047.88 + $1,500)/12

11. Monthly Payment to lender (escrow + mortgage) = $3,151.93 ($628.99 + $2,522.94)

<h3>What is a mortgage?</h3>

A mortgage is a loan arrangement that allows a borrower to buy some property, usually a house, without paying for the full cost immediately.

The borrower then makes a monthly payment, which includes the principal and its interest.

Learn more about mortgage payments at brainly.com/question/22846480

#SPJ1

3 0
2 years ago
What is the remainder when 9712 is divided by 42
MAVERICK [17]
9712/42=231.238 should be your answer
6 0
3 years ago
Read 2 more answers
Determine if the given lines are parallel, perpendicular, or neither.
Leni [432]

Answer:

The lines are parallel.

Step-by-step explanation:

Given the lines

-2x-3y=9

4x+6y=24

Writing the equations in the slope-intercept form

y=mx+b

where m is the slope and b is the y-intercept

-2x-3y=9

y=-\frac{2}{3}x-3

Thus, the slope = m₁ = -2/3

also

4x+6y=24

  • y=-\frac{2}{3}x+4

Thus, the slope = m₂ = -2/3

  • We know that parallel lines have equal slopes

As

m₁ = m₂

Thus, the lines are parallel.

4 0
3 years ago
Aaron borrows $150 from his friend Austin. He promises to pay back the money in 4 monthly installments. Each month he wants to p
dalvyx [7]
This can be expressed by, 

80 + 40 + 20 + 10 = 150
6 0
3 years ago
Read 2 more answers
Which step is incorrect and why
Svetach [21]

Answer:

10x-6 = 4(1+2x) + 6

10x-6 = 4 + 8x + 6

10x - 8x = 4+6+6

2x = 16

x = 8

hope it will help you

5 0
3 years ago
Other questions:
  • DEF has vertices P(-3,8) Q(-6, -4) R (1,1). if you reflect pqr across the x axis what will be the coordinates of the vertices
    7·1 answer
  • For inequalities. Greater Than, &gt;, and Less Than, &lt;, mean the solution does NOT contain the number. So would you use and o
    8·1 answer
  • Due tomorrow!!!! 10 points!!
    11·1 answer
  • If I get an 85 on a test but I missed 6 questions how many questions are there?
    9·2 answers
  • An animal shelter has cats and dogs. The ratio of cats to dogs is 3 to 5. If there are 15 dogs, how many cats are there?
    10·2 answers
  • Consider that the length of rectangle A is 21 cm and its width is 7 cm. Which rectangle is similar to rectangle A? A) A rectangl
    8·2 answers
  • Find the length of the missing side (nearest tenth).<br> 19 in<br> 25 in
    5·1 answer
  • Napa and Newton are 24 miles apart. On a map, the two cities are 3 inches apart. What is the map scale?
    14·1 answer
  • ABCD is a rectangle ,its diagonals meet at O.If AO = 5x+1 and BO = 4x+9,find the length of the diagonals .(lengths in cm).
    14·1 answer
  • What is the slope !<br> (The bottom one says : (-5, -3)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!