A box contains 20 red balls, 25 white balls, and 55 blue balls. Suppose that 10 balls are selected at random one at a time with replacement; that is, each selected ball is replaced in the box before the next selection is made. Determine the probability that at least one color will be missing from the 10 selected balls.

Answers

Answer 1

Answer:

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Determine the probability that at least one color will be missing from the 10 selected balls.

Red missing:

Each time, there are 55 + 25 = 80 non-red balls, out of 100. So, in each of the 10 trials, 80% = 0.8 probability of not picking a red ball. The probability that no red ball is picked is given by:

(0.8)^10 = 0.1074

White missing:

55 + 20 = 75 non-white balls, out of 100, in each trial. The probability that no white ball is picked is given by:

(0.75)^10 = 0.0563

Blue missing:

45 non-blue balls, out of 100. The probability that no blue ball is picked is given by:

(0.45)^10 = 0.0003

Total:

0.1074 + 0.0563 + 0.0003 = 0.164

0.164 = 16.4% probability that at least one color will be missing from the 10 selected balls.


Related Questions

Find the 12th term of the geometric sequence -2,4,-8..

Answers

Answer:

-16394

Step-by-step explanation:

Pattern rule : Start at -2 and multiply it by -2.

-2 x -2 = 4

4 x -2 = -8

-8 x -2 = 16

16 x -2 = -32

- 32 x -2 = 64...so on

Can someone help me with a two step equatio that is x=3

Answers

Answer:

ok

Step-by-step explanation:

ya

✨6 Grade Math✨ Pls help

Answers

Answer:

37

Step-by-step explanation:

89 - 4²×4 + 12 = 89 - 16×4 + 12                        = 89 - 64 + 12                        = 25 + 12                        = 37

Answer:

[tex]89 - 4 {}^{2} \times 4 + 12 = 89 \\ - 16 \times 4 + 12 \\ \\ = 89 - 64 + 12 \\ \\ = 25 + 12 \\ \\ = 37[/tex]

89-4^2×4+12=89-16×4+12

= 89-64+12

= 25+12

= 37

Suppose that you and your friends attend a basketball game. You buy a block of 8 tickets for $192. You want to know the price per ticket. That price can be expressed as a unit rate. What is that rate?

Answers

Answer:

$38.40

Step-by-step explanation:

you have to divide 192 by 8.

Find three points on the parabola.
x^2−6x−4y+5=0

Answers

Answer:

(0,1.25), (1,0), (-1,3)

Step-by-step explanation:

A ticket to Silver Dollar City costs $125. You have a coupon that will save you 33%. How much will you SAVE? In the same scenario, how much will you end up SPENDING for you ticket if you use your coupon?

Answers

You will save 41.25 dollars, and you will pay 83.75 dollars if you use the coupon.
To get the percent of money you save you multiply 125 dollars by 33% to get your answer. To get the number of dollars you will take the amount you got by multiplying 125 dollars by 33% and subtract it from 125, so that’s 125 - 41.25 = 83.75

Geometry plz someone help me out

Answers

Answer:

x = 7 times the square root of 3      

y = 14

Step-by-step explanation:

por cada persona que tiene gripe,hay 6 personas que solamente tienen sintomas de gripe. si un medico ve a 40 pacientes, calcula aproximadamente cuántos pacientes esperas que tengan solamente sintomas de gripe.​

Answers

Ching chang aging sho ghing 40/6

Can someone please tell me this equation?

Answers

Answer:

for the number of rubas, it keeps on doubling up while on the square number its only going up by 1 every time.

Step-by-step explanation:

What is the algebraic expression for y-4

Answers

if y has value greater than 4 we will have negetive value if y has value less than 4 we will have positive value

y+2=1/5(x+1)
graph?

Answers

Or in order pair form ( 0 , 9 )

Answer:

x=5Y+9, Plot on graph 1/5x-9/5

Step-by-step explanation:

The x intercept is (9,0)

The Y intercept is (0,-9/5)

what is 5/6 - 3/8 plz help

Answers

the answer is: 11/24

73% of 148 grams is what?

Answers

Answer:

108.04 grams

Step-by-step explanation:

Answer:  108.04

Step-by-step explanation:

Can somebody please answer the question giving brainliest!

Answers

Answer:

A counter clockwise

Step-by-step explanation:

HELPPPPPP MEEEE PLEASE AND THANK YOU ILL MARK YOU BRAINLIEST

Answers

It is ABE and ABD the 1st and 3rd one

Enter the correct value in the space provided
Mariah is shopping at the mall for a sweatshirt. She finds a sweatshirt that is marked down 55% off the original price. The original price of the sweatshirt is $78.25. what is the sale price of the sweatshirt

Answers

Answer:

$35.21

Step-by-step explanation:

100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

Answer: $35.21

Step-by-step explanation: 100%:$78.25

45% :$?

100?=78.25×45

?= 78.25×45/100

=$35.21

72 = 0.6J I need help plz

Answers

What’s the question for the equation

In permutations, order matters.

A) True
B) False
C) Both
D) Unable to answer this question with the data given because permutations are always changing.

Answers

The order you put the numbers in matters.

Help with this one too!!! It will mean a lot

Answers

Answer:

Step-by-step explanation:

problem 13:

12g+24, 3(4g+8)

problem 14

9a+6, 3(a+2)+6a

6(a+1)+3a

My choices are
38
62
102
150​

Answers

Answer:

B. [tex]x = 62[/tex]

Step-by-step explanation:

In order for m to be parallel to n, those two angles given have to be equal to each other according to the corresponding angles theorem converse.

[tex]3x-36=2x+26\\[/tex]

Same to both sides:

[tex]x = 62[/tex]

what does 1/2 x 2/3 equal

Answers

Answer:

9/2

Step-by-step explanation:

4/5 = 28/x

x=
i need to know what x =

Answers

Answer:

Hello! :) have a good day!

x = 35

4/5 = 28/35

I need help this is a assignment question.

The length of a rectangular placemat
is 2/3 foot. If the area of the placemat
is 1/2 square foot, what is the width of
the placemat?

A. 1/3 foot
B. 1/4 foot
C. 3/4 foot
D. 4/3 foot

Answers

Answer:

c because its c its c and nothing but c

A rectangular room measures 10 feet by 12 feet. How much would it cost to carpet if the carpeting sells for $12 per square yard?

Answers

10*12=120 square ft
There is 3 feet in 1 yard
120/3=40
40*12=$480

Answer:

$480

Step-by-step explanation:

10 times 12 is 120

So 120 ft in yards is 40 yards

40 times 12 is 480

Daniel want to know the volume of his cube, he notices that the cube has 1/5 centimeters side length, what is the volume of the cube?

Answers

Answer:

1/125 cm^3

Step-by-step explanation:

Volume of a cube = L^3

L is the side length of the cube

Given

L = 1/5 cm

Volume of the cube = (1/5)^3

Volume of the cube = 1/125

Hence the volume of the cube is 1/125 cm^3

Given a right triangle ABC, if the measure of angle A is 77', and cos (77) = sin(0).
what is the value of 0 ?

Answers

Answer:  Theta = 13 degrees

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

Rule:

If cos(A) = sin(B), then A+B = 90

This can be proven through the use of drawing a right triangle with acute angles A and B. Let's say C is the 90 degree angle.

Then note how cos(A) = adjacent/hypotenuse = AC/AB while sin(B) = opposite/hypotenuse = AC/AB. We see that both evaluate to AC/AB. So this confirms cos(A) = sin(B) is true.

The condition that A+B = 90 is from from the fact that any pair of acute angles of a right triangle are complementary angles.

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

Using that rule, we can say

cos(77) = sin(theta)

leads to

77+theta = 90

and that solves to

theta = 90-77 = 13

Your firm has developed a new product aimed at the European and Asian markets. For each of these two markets, you have identified two possible sales scenarios, called "good" and "bad", with the following probabilities:
Europe Good Europe Bad
Asia Good 0.55 0.15
Asia Bad 0.20 0.10
That is, there is a 55% chance the products sales will be good in Asia and Europe, a 15% chance they will be good in Asia but bad in Europe, and so forth.
You have four possible courses of action:
• Introduce the product simultaneously in Europe and Asia.
• Introduce it in Asia first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Europe, one year later.
• Introduce it in Europe first. After it becomes apparent whether sales are good or bad, decide whether to introduce it in Asia, one year later.
• Abandon the product.
The NPV's of the various scenarios are as follows, in millions of US dollas
Immediate Introduction After one year
Good Bad Good Bad
Asia 120 -205 +117 -205
Europe +105 -200 +102 -200
For example, "good" sales in Asia mean an NPV of S120 million if the product is introduced in this year, and S117 mlo i the product is introduced next year. In either year, "bad" sales mean an NPV of-$205 ml The information for Europe should be interpreted similarly
A) Calculate:
1) The probability of good sales in Asia The probability of good sales in Europe.
2) The probability of good sales in Asia, given that good sales are observed in Europe.
3) The probability of good sales in Asia, given that bad sales are observed in Europe.
4) The probability of good sales in Europe, given that good sales are observed in Asia.
5) The probability of good sales in Europe, given that bad sales are observed in Asia.
B) Use a decision tree to determine the best introduction strategy for the product from the standpoint of EMV. State the optimal policy and its EMV.

Answers

Solution :

1. [tex]$P(\text{ good sales in Asia }) = 0.55+0.15$[/tex]

                                     = 0.7

2. [tex]$P(\text{ good sales in Europe }) = 0.55+0.20$[/tex]

                                     = 0.75

3. [tex]$\text{P(good sales in Asia }| \text{ good sales in Europe}) $[/tex][tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Europe)}}$[/tex]

                                         [tex]$=\frac{0.55}{0.75}$[/tex]

                                          [tex]$=\frac{11}{15}$[/tex]

4. [tex]$\text{P(good sales in Asia }| \text{ bad sales in Europe}) $[/tex]

  [tex]$=\frac{\text{P (good sales in Asia and bad sales in Europe)}}{\text{P( bad sales in Europe)}}$[/tex]

  [tex]$=\frac{0.15}{0.25}$[/tex]

  [tex]$=0.6$[/tex]

5. [tex]$\text{P(good sales in Europe }| \text{ good sales in Asia}) $[/tex]

   [tex]$=\frac{\text{P (good sales in Asia and good sales in Europe)}}{\text{P( good sales in Asia)}}$[/tex]

   [tex]$=\frac{0.55}{0.7}$[/tex]

  [tex]$=\frac{11}{14}$[/tex]

6.  [tex]$\text{P(good sales in Europe }| \text{ bad sales in Asia}) $[/tex]

     [tex]$=\frac{0.2}{0.3}$[/tex]

     [tex]$=\frac{2}{3}$[/tex]                              

Solve
Four times the sum of 6 and some number is 32. What is the number?

Answers

Answer:

Thus, the value of x is 1.

Step-by-step explanation:

4(2x+6)=32

8x+24 =32

8x =32-24

8x =8

x =8÷8

x =1

Rob hits ball 3 feet off the ground at an angle of 30 degrees with an initial velocity of 115ft/sec. Will the ball clear a 20 foot fence that is 300 feet from the home plate?

Answers

##################################

Which proportion would you use to solve the following problem?

A map has a scale of 1 cm : 5 km. Determine how far apart two cities are if they are 4 cm apart on the map.
ILL MARK BRAINLEST

Answers

Answer:

They are 20 km away from each other,

Step-by-step explanation:

1cm=5km so 4cm=20km

Answer:

20km

Step-by-step explanation:

its like 1st grade math?

also im posting so you can give the other dude brainliest

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