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
Alexeev081 [22]
2 years ago
11

A box holds 8 red and 4 blue beads. Three beads are taken from the box and not replaced. Determine: The probability that all thr

ee beads taken are red The probability that there are at least two blue beads from the three that were taken
Mathematics
1 answer:
zubka84 [21]2 years ago
6 0

Answer: \dfrac{14}{55}, \dfrac{13}{55}

Step-by-step explanation:

Given

There are 8 red and 4 blue beads

Three beads were taken from the box

(i)No of ways of choosing three red beads out of 12 beads is ^8C_3

Total no of ways ^{12}C_3

Probability is

P=\dfrac{^8C_3}{^{12}C_3}=\dfrac{8\times 7\times 6}{12\times 11\times 10}=\dfrac{2\times 7}{11\times 5}\\P=\dfrac{14}{55}

(ii)atleast two beads refers to minimum two beads

There can be two possibilities (2B,1 R), (3B, 0R)

\Rightarrow P=\dfrac{^4C_2\times ^8C_1}{^{12}C_3}+\dfrac{^4C_3}{^{12}C_3}\\\\\Rightarrow P=\dfrac{6\times 8}{220}+\dfrac{4}{220}=\dfrac{52}{220}\\\\\Rightarrow P=\dfrac{13}{55}

You might be interested in
A car drove at a rate of 32 miles every minute. If the speed per minute remains the same, which method could be used to determin
Radda [10]

Step-by-step explanation:

if the car speeds at a constant rate of 32mi/m

the number of miles travelled in the next 25 min

= 32 mi/m ×25m

800 miles in the next 25 min

5 0
3 years ago
Find me this result !!!!! bana bu sonucu bulun​
DIA [1.3K]

Answer:

Not sure about want u want but if you want the purple line it is y=4 . and the blue line is 24.1

5 0
3 years ago
If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
Artyom0805 [142]

Answer:

The answer is second one (-2)

7 0
2 years ago
Last year Billy weighed 75kg. This year he weighed 90kg. With what percentage did his weight increase. SHOW ALL WORK!!!
k0ka [10]

Answer:

20%

Step-by-step explanation:

90 - 75 = 15

15 ÷ 75 = 0.2

0.2 x 100% = 20%

8 0
3 years ago
What's the walker instructions for this problem?​
LekaFEV [45]

I'm not sure what the stuff in blue indicates. If we ignore that, then the flat horizontal line means the person stays motionless at some distance away from the motion detector. They don't move because the slope = rise/run is zero here, to indicate a zero speed.

8 0
2 years ago
Other questions:
  • Which of the following is a logarithmic function?
    8·2 answers
  • -4y + 4 = -2(6x - 2)
    12·1 answer
  • I really need help. Please help me!
    5·2 answers
  • William wants to buy a new skateboard that costs $48.80. He has saved ¼ of the amount necessary. How much money has he saved?
    6·2 answers
  • The gypsy moth is a serious threat to oak and aspen trees. A state agriculture department places traps throughout the state to d
    15·1 answer
  • What is the interquartile range of the data set? {48, 50, 65, 60, 80, 42, 45, 50} Enter the answer in the box.
    12·2 answers
  • Another point also lies on the line y = 3x  2
    9·1 answer
  • It costs $20 to enter an amusement park and $0.50 to go on each ride. You have $24. How many rides are you able to go on?
    5·2 answers
  • Help me fast I have 30 min to finish the testtt!!!!!!!!!
    10·1 answer
  • Solve the following system of equations <br><br> 3x+2y=1<br> Y=x-2
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!