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
lukranit [14]
3 years ago
9

A box contain 12 balls in which 4 are white 3 are blue and 5 are red.3 balls are drawn at random from the box.find the chance th

at all three are selected​
Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

3/11

Step-by-step explanation:

From the above question, we have the following information

Total number of balls = 12

Number of white balls = 4

Number of blue balls = 3

Number of red balls = 5

We solve this question using combination formula

C(n, r) = nCr = n!/r!(n - r)!

We are told that 3 balls are drawn out at random.

The chance/probability of drawing out 3 balls = 12C3 = 12!/3! × (12 - 3)! = 12!/3! × 9!

= 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1/(3 × 2 × 1) × (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)

= 220 ways

The chance of selecting 3 balls at random = 220

To find the chance that all the three balls are selected,

= [Chance of selecting (white ball) × Chance of selecting(blue ball) × Chance of selecting(red balls)]/ The chance/probability of drawing out 3 balls

Chance of selecting (white ball)= 4C1

Chance of selecting(blue ball) = 3C1 Chance of selecting(red balls) = 5C1

Hence,

= [4C1 × 3C1 × 5C1]/ 220

= 60/220

= 6/22

= 3/11

The chance that all three are selected is = 3/11

You might be interested in
A cargo ship off the west coast of Africa sent a distress call and only provided their 10 latitude before the call cuts out. As
Studentka2010 [4]

The linear function showing the cargo ship’s path on the map is given at the image at the end of the answer.

<h3>What is a linear function?</h3>

The slope-intercept representation of a linear function is given by the rule presented as follows:

y = mx + b

The coefficients of the function and their meaning are explained as follows:

  • m is the slope of the function, representing the change in the output variable y when the input variable x increases by one.
  • b is the y-intercept of the function, representing the numeric value of the function when the input variable x assumes a value of 0.

In this problem, the function is given as follows:

y + 20 = -2x.

In slope-intercept format, the function is:

y = -2x - 20.

This means that:

  • When the longitude is of 0, the latitude is of 20. (passing through Mali).
  • Due to the negative slope, the line is decreasing.

Hence the line is presented on the image given at the end of the answer.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

4 0
1 year ago
W A field is shaped like the figure shown What is the area of the field Use 3.14 for 8 m
viktelen [127]

Answer: 146.24 square meters

Step-by-step explanation:

4 0
3 years ago
Find all polar coordinates of point P = (9, 75°).
zubka84 [21]

Answer:

1) (9, 75+360n)

2) (−9, 255+360n)

Step-by-step explanation:

(9, 75) is same as (9, 75 + 360)

so it would be (9, 435)

It can also be expressed as (-9, 75 + 180 degrees)

so (-9,255) degrees

In general, (9,75+360 n) for n≥0 represents half of the possible ways of representing the point : (9,75)  

6 0
3 years ago
01.05 what is the slope intercept form equation of the line that's passing through (1,3) and (3,7)
Butoxors [25]

Hello!

To find the slope-intercept form equation of the line that passes through the two points is found by first, calculating the slope using the slope formula and substitution, and secondly, finding the y-intercept of the equation through substitution.

Remember, slope-intercept form is written as: y = mx + b, where m is the slope and b is the y-intercept.

1. Find the slope

The slope formula is: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. To use this formula, you need two points and also, you need to assign these points to x_{1}, x_{2}, y_{1}, and y_{2}.

In this case, x_{1} and x_{1} is assigned to the ordered pair (1,3), while x_{2} and y_{2} is assigned to (3, 7). After assigning these points, you can substitute the pairs into the formula and simplify.

\frac{7-3}{3-1} =\frac{4}{2} = 2

The slope of these two points is 2.

2. Find the y-intercept

To find the y-intercept, you substitute an ordered pair into the slope-intercept equation with the slope that was just calculated. We can use either ordered pair because it will result in the same y-intercept.

y = 2x + b (substitute)

3 = 2(1) + b (simplify)

3 = 2 + b (subtract 2 from both sides)

1 = b

The y-intercept of the two points is (0, 1).

With the necessary values to complete the equation, we can write the final equation.

The slope-intercept form equation of the line that passes through the points (1, 3) and (3, 7) is y = 2x + 1.

7 0
3 years ago
10. Which transformations result in a preimage and image with opposite orientations?
Airida [17]
Reflections and glide reflections both give you a transformation where the preimage and image have opposite orientations.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Claritin 24 set of she rested and then did too and more how many sit-ups did he did do it now
    12·1 answer
  • Divide 59 divided by 2550
    14·2 answers
  • The area of a square can be found using the equation A= s2, where A is the area and S is the measure of one side of the square.
    11·1 answer
  • How many solutions are there to the equation 12x 6=5x
    11·1 answer
  • The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a la
    8·1 answer
  • If x° is the exterior angle and 50°and 60° are its opposite interior angle of a triangle, find x°.​
    8·2 answers
  • 1. Which of the following statements about absolute value is not true?
    10·2 answers
  • What is 30 ÷ 14 written as a fraction?
    11·1 answer
  • 144 like exponent and with 12 like base
    8·1 answer
  • Pls ill give brainelist
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!