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
vesna_86 [32]
2 years ago
13

A bag comtains 2 red marbles, 3 blue marbles, and 4 green marbles. What is the probability of choosing a blue marble, and withou

t replacing it, drawing a green marble, and without replacing it, drawing another green marble.
A) 1/12
B) 5/12
C) 1/14
D) None of the above​
Mathematics
1 answer:
denis-greek [22]2 years ago
5 0

Answer:

1 /14

Step-by-step explanation:

P(B, G, G) = \frac{3}{9} · \frac{4}{8} · \frac{3}{7}

                = \frac{1}{3} · \frac{1}{2} · \frac{3}{7}

                 =  \frac{1}{14}

You might be interested in
Write your solution as an inequality: If 3
inysia [295]

Answer:

3

Step-by-step explanation:

if the inequality is 3, it will be 3

8 0
3 years ago
2.524.130 ÷ 786 = 326 true ir false?
olya-2409 [2.1K]

Answer:

false

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Twin brothers,billy and Bobby, can mow their grandparents lawn together in 72 minutes. Billy could mow the lawn by himself in 15
Alla [95]

Answer:

Billy used 28 mins 30 sec to mow the lawn and Bobby used 43 mins 30 sec to now the lawn both within 72 mins

Step-by-step explanation:

let x represent Billy

let x+15 represent Bobby

x + x + 15 = 72

2x = 72 - 15

2x = 57

2x/2 = 57/2

x = 28.5 minutes = 28 minutes 30 seconds

Bobby = x + 15

= 28.5 + 15

= 43.5 minutes= 43 minutes 30 seconds

6 0
3 years ago
Two of the 240 passengers are chosen at random. Find the probability that
hjlf

Step-by-step explanation:

there are in total 240 passengers.

out of these 240, there are 150+30=180 passengers that are in holiday.

and 240-180 = 60 passengers are not.

if we pick one passenger then the probability is 180/240 = 3/4 = 0.75 that he/she is on holiday.

remember : desired "events" over total "events".

i)

now we pick 2 passengers.

the probabilty for the first one to be on holiday is again

3/4 or 0.75.

if that event happens, then we have only 179 passengers out of now 239 to be on holiday.

and to pick one out of that pool to be on holiday is then

179/239 = 0.748953975...

and for both events to happen in one scenario we need to multiply both probabilities (it is an "and" relation, while an addition would be for an "exclusive or" relation).

the probabilty that we pick 2 passengers on holiday is

3/4 × 179/239 = 0.561715481... ≈ 0.5617

we cannot simply square the basic probability of 0.75 (0.75² = 0.5625), because that would mean we pick one passenger, then put him back into the crowd, and then pick a second time (with a chance to pick the same person again). like with rolling a die.

but that is not the scenario as I understand it. it is to pick a passenger, then keep that person singled out and pick a second passenger. hence the difference.

ii)

exactly one of the two is in holiday.

that means

either the first one is on holiday and the second one is not, or the the second one is and the first one is not.

now we model this logic statement in probabilty arithmetic.

please note that after the first pull we need to update the numbers for the remaining pool depending on the result of the first pull.

the total remaining is in both cases 239. but either the remaining people on holiday go down to 179 (and not in holiday stays 60), or the remaining people not on holiday go down to 59 (and on holiday stays 180).

so, the first one is on holiday, and the second one is not :

3/4 × 60/239 (remember : "and" relation)

= 3 × 15/239 = 45/239 = 0.188284519...

the first one is not on holiday, and the second one is :

60/240 × 180/239 = 1/4 × 180/239 = 45/239 =

= 0.188284519...

since there is no overlap of the potential events (there is no event that could be in both cases), this is an exclusive or relation, and we can add the probabilities.

so, the probability for exactly one of the picked passengers to be on holiday is

2×0.188284519... = 0.376569038... ≈ 0.3766

8 0
2 years ago
What is the vertex of the graph of f(x) = x2 + 4x + 6?
ICE Princess25 [194]

Answer:

(-2,2)

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Sandy has 16 roses,8daisies,and32 tulips.She wants to arrangee all the flowers in bouguets.Each bouguet has the same number of f
    15·1 answer
  • What is the answer for this question
    14·1 answer
  • An electronics company has two production facilities, denoted A and B. During an average week, facility A produces 2000 computer
    6·1 answer
  • It costs the Quality Company $.14 per mile to run its van. On Monday the van traveled 87.6 miles. How much did it cost to run th
    5·2 answers
  • Work out the area of a circle with the radius of 1 m​
    8·2 answers
  • There are 100 seniors and 80 juniors in the Homecoming Parade. The students split up into groups of equal size, to fit on the pa
    6·1 answer
  • 4x−6y=36
    8·1 answer
  • Seven times a number minus the number is -48. Find the number.
    8·2 answers
  • What two theorems are being used ?
    13·2 answers
  • yuki works at a garden store. She is stacking 40 pound bags. Write an equation that gives the total weight, w, of the soil in po
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!