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
Readme [11.4K]
3 years ago
5

A bag contains 6 red blocks, 4 green blocks and 2 yellow blocks. Three blocks are taken from the bag, at random, without replace

ment. Calculate the probability that all three blocks will be the same colour
Mathematics
1 answer:
Sloan [31]3 years ago
8 0

Answer:

0.1090908

Step-by-step explanation:

Given :

R = red blocks

Y = yellow blocks

G = green. blocks

n(R) = 6 ; n(Y) = 2 ; n(G) = 4

Total blocks = 6 + 2 + 4 = 12

Probability that all blocks are of same color :

P(RRR) or P(YYY) or P(GGG)

P(RRR) = 6/12 * 5/11 * 4/10 = 0.0909090

P(YYY) = 2/12 * 1/11 * 0/10 = 0

P(GGG) = 4/12 * 3/11 * 2/10 = 0.0181818

Hence,

0.0909090 + 0 + 0.0181818

= 0.1090908

You might be interested in
A survey of 1010 college seniors working towards an undergraduate degree was conducted. each student was asked, "are you plannin
Yuliya22 [10]
The confidence interval is (0.616, 0.686).

To find the confidence interval, we first find p, the proportion of students:
658/1010 = 0.6515

The confidence interval follows the formula
p\pm z(\sqrt{\frac{p(1-p)}{N}})

To find the z-score associated with this level of confidence:
Convert 98% to a decimal:  98% = 98/100 = 0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this is closer to the z-score 2.33.  

Using our information, we have:
0.6515\pm 2.33(\sqrt{\frac{0.6515(1-0.6515)}{1010}})
\\
\\0.6515\pm 0.0349

This gives us the interval (0.6515-0.0349, 0.6515+0.0349) or (0.616, 0.686).
5 0
3 years ago
There a 5 seniors on student council. Two of them will be chosen to go to an all-district meeting. How many ways are there to ch
Sladkaya [172]

Answer:

d

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A bank's monthly charge for maintaining an account is $.45 for each check written plus a service charge of $12.50. If x represen
Oksi-84 [34.3K]
The answer is D     this info is 100% correct hopefully you still need it <span />
7 0
3 years ago
Four people enter their names into a drawing. The winner receives one of two different prizes that are randomly selected. The tr
galina1969 [7]
A) (-4,2π/3)
b) (4,4π/3)
c) (-2,π/3)
d) (2,5π/3)
7 0
2 years ago
Find the product:<br> (-9)(-4)
nadya68 [22]

Answer:

36

Step-by-step explanation:

-9*-4=36

3 0
3 years ago
Other questions:
  • What identity can be used to rewrite the expression 27x^3-64?
    6·1 answer
  • It is 4,452 miles round trip to Craig's aunts house. If he travels to her house 3 times this year, how many miles did he travel
    13·2 answers
  • I don't understand I need some help on it
    14·1 answer
  • Austin buys 30 cups he places 4 balls in each cup how many cups does he need
    6·2 answers
  • 2.
    11·2 answers
  • In a group of 191 students, 10 are taking French, business and music, 36 are taking French and business, 20 are taking French an
    11·1 answer
  • Which words in the sentence make up the appositive phrase?
    7·2 answers
  • Need help giving 10 Points. Answer—and explanation
    13·1 answer
  • Differentiate Vx(x + 2) with respect to x.
    15·1 answer
  • What is Q(1.5) if ()=cos() and Q(x) is centered at /2? Round your answer to 4 decimals, for example, 0.1234.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!