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
Firdavs [7]
3 years ago
13

A box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orang

e, and 6 are green. if you select 9 pieces of candy randomly from the box, without replacement, give the probability that
a.three of the hearts are white.
b.three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green.
Mathematics
1 answer:
laiz [17]3 years ago
6 0

<u>Answer-</u>

a. Probability that  three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

<u>Solution-</u>

There are 19 white candies, out off which we have to choose 3.

The number of ways we can do the same process =

\binom{19}{3} = \frac{19!}{3!16!} = 969

As we have to draw total of 9 candies, after 3 white candies we left with 9-3 = 6, candies. And those 6 candies have to be selected from 52-19 = 33 candies, (as we are drawing candies other than white, so it is subtracted)

And this process can be done in,

\binom{33}{6} = \frac{33!}{6!27!} =1107568

So total number of selection = (969)×(1107568) = 1073233392

Drawing 9 candies out of 52 candies,

\binom{52}{9} = \frac{52!}{9!43!} = 3679075400

∴P(3 white candies) = \frac{1073233392}{3679075400} =0.29



Total number of ways of selecting 3 whites, 2 are tans, 1 is pink, 1 is yellow, and 2 are greens is,

\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}

=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})

=(969)(45)(7)(5)(15)=22892625

Total number of selection = 3 whites + 2 are tans + 1 is pink + 1 is yellow + 2 greens = 9 candies out of 52 candies is,

\binom{52}{9}=\frac{52!}{9!43!} =3679075400

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

\frac{22892625}{3679075400} = 0.006


You might be interested in
Please help! Use the Pythagorean theorem
Harrizon [31]

Answer:

its 10

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I'm really stuck on this math problem. I never learned this in school. Can someone please help me out? Thank you
romanna [79]
Hehe, these are fun to do. There are two ways to do this kind of problem. You can use the pythagorean theorem or we can use the distance formula.
Distance formula:
d= \sqrt{(x2-x1)^2+(y2-y1)^2}

Pythagorean Theorem:
a^2+b^2=c^2

Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.

I'll work the first one out for you:
 x1   y1     x2  y2  
(3,   2) & (7,   4)

d= \sqrt{(7-3)^2+(4-2)^2}
                           v
d= \sqrt{(4)^2+(2)^2}
                           v
d= \sqrt{(16+4}
                           v
d= \sqrt{20}

There's your answer!

<em>
</em>
<em>I spent a lot of time making this answer to help you. Please rate it Brainliest!</em>


7 0
3 years ago
Which solid has zero faces, zero bases, zero vertices, and zero edges?
svlad2 [7]
The only solid <span>zero faces, zero bases, zero vertices, and zero edges is a sphere. The reason why is because it's just round, and it doesn't have anything, just a sphere. 

Have a nice day! :)</span>
3 0
3 years ago
Read 2 more answers
Consider the table of values below.
Setler [38]

Answer:

f(x)=12x-5

Step-by-step explanation:

-5 is the y-intercept since f(1)=0

the difference from -5 and 7 (7-(-5) or 7+5) is 12 and 12/1 equals 12

7 0
3 years ago
How can i solve (-4,7) , (-6,-4)
pishuonlain [190]

Answer:

(-6) - 7 and -6 - (-4)

Step-by-step explanation:

you have to find the rate of change.

this equals -13/4=3.25

5 0
3 years ago
Other questions:
  • If a truck gets 14 mile to the gallon on average, how much carbon dioxide is emitted into the atmosphere when the truck travels
    9·2 answers
  • Ok now , these 2 loll
    11·1 answer
  • A woman bought a dress at a discount of 16 2/3. If the woman paid 32.50, what was the original price of the dress
    14·1 answer
  • Write a real world context for ratio of five to three
    5·2 answers
  • Dilate the point B(–4, 5) by a scale factor of 3 with the center at the origin.
    8·1 answer
  • A bolt is to be made 2.0 cm long with a tolerance of 4%. Set up an equation to solve for the shortest and longest bolt length. S
    15·1 answer
  • Tax on a $12, 985 car is 6%. what is the total price of the car​
    8·1 answer
  • Mitosis is a process by which 1 cell divides and becomes 2 cells, those 2 cells divide and become 4 cells, and so on. Write an e
    8·1 answer
  • Round of the underlined digit in each day decimal number​
    8·2 answers
  • -3x + 9y = -24 <br> -3x -3y = -24
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!