A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
random. (The first ball is not replaced). Find the probability that both balls are of
the same colour

Answers

Answer 1

Answer:

[tex]P(Same)=\frac{61}{190}[/tex]

Step-by-step explanation:

Given

[tex]Red = 5[/tex]

[tex]White = 6[/tex]

[tex]Black = 9[/tex]

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

[tex]Total = 5 + 6 + 9[/tex]

[tex]Total = 20[/tex]

This is calculated as:

[tex]P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)[/tex]

So, we have:

[tex]P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1} + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}[/tex]

Note that: 1 is subtracted because it is a probability without replacement

[tex]P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1} + \frac{9}{20} * \frac{9- 1}{20- 1}[/tex]

[tex]P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19} + \frac{9}{20} * \frac{8}{19}[/tex]

[tex]P(Same)=\frac{20}{380} + \frac{30}{380} + \frac{72}{380}[/tex]

[tex]P(Same)=\frac{20+30+72}{380}[/tex]

[tex]P(Same)=\frac{122}{380}[/tex]

[tex]P(Same)=\frac{61}{190}[/tex]


Related Questions

True or false. If false write the correct statement

1. The depreciation takes place by a specific rate for a specific time​

Answers

it is very much true

Consider the equation x2 = 36. Which of the statements below are true? Select all that apply.
x= v6 is a solution.
x = 6 is a solution.
x = -6 is a solution.
x = -6 is a solution.
There is no solution.
The solution is all real numbers.​

Answers

+6, -6

Step-by-step explanation:

if the equation is x^2 = 36 then the solving for x we get the square root of 36 which is positive or negative 6

Please show steps to this problem

Answers

Answer:

Answer is D. 1572 square units.

Triangle DEF has coordinates D (5,2), E (5,-2), and F(-4, 0). Which of the
following statements is true about triangle DEF?*
The triangle has no lines of symmetry.
Both

Answers

Answer:

Well, I don't have further explanation to this question but I know the answer which is: The x-axis is the only line of symmetry

NEED AN ANSWER IMMEDIATELY
This year, Colin gave 63 piano performances. That is 80% more than last year. How many times did Colin perform last year?

Answers

Answer:

35

Step-by-step explanation:

63/1.8=35

Convert the complex number from polar to rectangular form
z=cis(7pi/6)

Answers

3809 3.14 x
135 26x

Q1 (Describe the two eukaryotic animal cell organelles that have roles similar to the organs of the human digestive system)Q2(Describe how proteins are made packaged and transported within the cell) plz help fast

Answers

Step-by-step explanation:

Ans 1

Two eukaryotic animal cell organelles that have roles similar to the organs of the human digestive system are lysosome and mitochondria. ... Mitochondria is like the small intestine, it is responsible for converting the food we eat into nutrients and minerals needed for the cell

Ans2

The Golgi processes proteins made by the endoplasmic reticulum (ER) before sending them out to the cell. ... Proteins must make their way through the stack of intervening cisternae and along the way become modified and packaged for transport to various locations within the cell (Figure 1).

A figure has vertices at points (0,3),(6,3), and (3,6)what polygon is made

Answers

Answer:

The polygon that is made is a triangle

Step-by-step explanation:

Given the following situation, determine if the data is rank data. A NFL Stadium manager wants to compare the Customer Satisfaction levels of two different stadium locations. He randomly selects 30 customers from Stadium A and Stadium B, and he compares the results. The Customer Satisfaction Survey measures responses as "Highly Satisfied", "Satisfied", "Neither", "Unsatisfied", and "Highly Unsatisfied." Is this rank data? Group of answer choices not rank data rank data

Answers

Answer:

Rank data

Step-by-step explanation:

Ranked data scale is one in which the ordering or levels in the scaling format follows or depicts a certain degree of importance or hierarchy. They are usually used in ordinal scaling method. In the scenario above, the ranking follows a defined order with the highest level of satisfaction which a customer can report being Highly Satisfied" followed by "Satisfied" then "Neither" (meaning that customer is neither satisfied nor unsatisfied) the least level of satisfaction which a customer could report is being "Highly Unsatisfied." which is worse than being "Unsatisfied".

help?? i will mark the correct answer brainlest!!

Answers

Answer: 13 is the first one and the second one is 15

Step-by-step explanation:

The double number line shows how far a hummingbird can fly in 1 second.

Answers

Answer:

1st box-1

2nd box-3

3rd box-130

Step-by-step explanation:

On the number line, 13 metres is in line with 1 second. So, that means the hummingbird flies 13m/s.

Then to work out the second box, for how much time it takes to travel 39 metres, you would have to do 39÷13=3. This means that in 3 seconds, the hummingbird flies 39 metres in 3 seconds.

To work out how many metres the hummingbird flies in 10 seconds, you would have to do 13×10=130. The reason why you times 13 by 10 is because the hummingbird does 13 metres in 1 second, but we want 10 seconds, so we times it.

Hope this helps :)

Answer:

1st box-1

2nd box-3

3rd box-130

Step-by-step explanation:

the other person gets the credit he did it before me

(Constructed Response) Determine whether the binomial, 9x² - 49, is a difference of
two squares. If so, factor it. If not, explain why.

Answers

Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)

=============================================================

Explanation:

We can write the 9x^2 as (3x)^2 since

(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2

The 49 can be written as 7^2 because 7^2 = 7*7 = 49.

This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.

The difference of squares factoring rule is

a^2 - b^2 = (a-b)(a+b)

which we have a = 3x and b = 7 in this case

So,

a^2 - b^2 = (a-b)(a+b)

(3x)^2 - 7^2 = (3x-7)(3x+7)

9x^2 - 49 = (3x-7)(3x+7)

Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.

A restaurant wants to study how well its salads sell. The circle graph shows the sales over the past few days. If of the salads sold were ​salads, how many total salads did the restaurant​ sell?

Answers

40%=10
80%=20
100%=25
answer is 25

Dart Game Results
20
18
Rami works at a carnival dart game where groups of
people try to pop balloons taped to a wall by throwing
darts. He records the number of people in each group
and the total number of balloons they pop. This graph
represents Rami's data.
How many balloons did the group of 5 people pop?
16
14
12
Number of balloons popped
Enter your answer in the box.
4
balloons
2
0 1
2
3
4
5
9
10
6 7 8
Number of people

Answers

How many balloons did the group of 5 people pop?
Answer: 12

I hope I helped. Brainliest would be appreciated, but you don’t have to give me Brainliest if you don’t want to.

Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) A- y = 3x + 2 B- y = 3x + 8 C- y = −3x − 2 D- y = −3x + 8

Answers

Answer:

the correct answer is y=-3x+8

. Which equation represents the height of the purple part of the wall? *


A. 3/4 x 8 1/2 = 6 3/8 ft
B. 3/4 x 8 1/2 = 6 1/2 ft
C. 3/4 x 10 1/3 = 6 5/6 ft
D. 3/4 x/ 10 1/3 = 7 3/4 ft

Answers

Answer:

a

Step-by-step explanation:

cause it is eaqul and it is rihgt

A i think maybe

why?
because yesp

The volume of a rectangular solid is 150 3/4. It has a height of 8 and a width of 13.25, what is the length?

Answers

Answer:

1.42217 or 1.42

Step-by-step explanation:

Using the formula

V=whl

Solving for L

L=V/HW=150.75/8x13.25≈1.42217

Please help this is important

Answers

Answer:

First blank - SSS congruent condition

Second blank - Congruent

Answer: This looks famiiar to me btw which school do u go to? :)

Answer the question

Answers

Answer:

D

Step-by-step explanation:

demos

Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equation best represents the cost, c, of a

Answers

Answer: $7.95+$1t ?

Step-by-step explanation:

Answer:

I assume the answer would be the burger plus toppings is equal to cost so

7.95+t*1.00=c

The refrigerator part of a refrigerator freezer has a volume of 27 cubic feet. The freezer part is 2 feet high 2 feet deep and 3 feet wide What is the total volume of the refrigerator freezer

PLS HELP

Answers

Answer:

39 cubic feet

Step-by-step explanation:

The volume of the freezer part:

2*2*3 = 12 cubic feet

Total volume is:

27 + 12 = 39 cubic feet

I need help solving this equation 7/(x+1)-3/2=8/3x+3

Answers

Answer:

5/16,-3

Step-by-step explanation:

I didn't actually solve this by myself, I used this website to solve this.

b) 144 kg in the ratio 1:3:5​

Answers

Answer:

9.6666

Step-by-step explanation:

[tex]144 \times 1 \div 3 \div 5[/tex]

A school has a population of 2500 students. The number of students is increasing at continuous growth rate of 4.5% each year. Which of the following
formulas models the population of this school?
A. A = 2500e ^-0.045t
B. A = 2500e^4.5t
C. A = 2500e^0.045t
D. A = 25000e^450

Answers

Answer:

C

Step-by-step explanation:

Please need help on this

Answers

If the diameter is 12ft, the area is 113.1ft²

PLZ HELP!!!!! BEST ANSWER WILL BE CHOSEN FOR BRAINLIEST!

Answers

Answer:

The angle measures of quadrilateral P'R'S'T are equal to the corresponding angle measures of quadrilateral PRST

Step-by-step explanation:

The transformation rule (x,y) ----> (x + 4 , y + 9 ) is an example of translation.

Translation is moving the points around.

During a translation the only thing that changes is the location of the points.

Everything else stays the same therefore the corresponding angles will be congruent.

HELP PLS!! BRAINLIEST

Answers

Answer:

50 degrees

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

angle l is 50 degrees i belive

Step-by-step explanation:

Help me please ASAP Please please

Answers

Answer:

$31.23

Step-by-step explanation:

104.1% x 30 = 31.23

$31.23 is your answer for this question

What is the slope of the line represented by the equation y=--
+
4
1
N

0 -1
4

* 14 1
1
4
1
2

Answers

Answer:

m = ∆y/∆x

Step-by-step explanation:

in case we have two points

the slop of the two points is the same as the gradient of that line.

So, m = ∆y /∆x

Enter a phrase for the expression

Answers

Answer:

The quotient of x and 11.

Step-by-step explanation:

Given:

[tex] \frac{x}{11} [/tex]

Required:

Write the expression in words

Solution:

In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).

So, we are dividing x into 8 parts.

A quotient is the result you get when you divide the dividend by the divisor.

✅In describing the expression in words, we would use the following phrase:

The quotient of x and 11.

The dividend is mentioned first before the dividend.

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