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
Lubov Fominskaja [6]
3 years ago
10

There is a bag filled with 4 blue, 3 red and 5 green marbles.

Mathematics
2 answers:
Simora [160]3 years ago
8 0

Answer:

3 out of 12 chance i believe.

Bond [772]3 years ago
4 0

Answer:

\frac{3}{8}

Step-by-step explanation:

We'll need to use casework, since the problem stipulates there needs to be exactly one red drawn. Because we're drawing two marbles, we can either draw a red one first or a red one second. With casework, we'll add the probability a red marble is drawn the first draw and the probability a red marble is drawn the second draw.

There are 4+3+5=12 marbles total. The probability of drawing a red marble is equal to the number of red marbles (3) divided by the total number of marbles (12). Therefore, the probability of getting a marble on the first draw is 3/12=1/4. Since the marble is replaced, there are still 12 marbles, 4 blue, 3 red, and 5 green, for the second draw. We want to add the probability a red marble is drawn the first draw to the probability a red marble is drawn the second draw. Therefore, for the second draw, let's find the chances of not choosing a red marble. There is a 9/12 chance that the marble chosen is not red. Therefore, the probably of this case happening is \frac{1}{4}\cdot \frac{9}{12}=\frac{9}{48}.

This case has the exact same probability as the other case, where a non-red marble is chosen the first draw and the red marble is now chosen the second draw (9/12 chance to choose a non-red marble and 1/4 chance to choose a red marble).

Add these cases up:

\frac{9}{48}+\frac{9}{48}=\frac{18}{48}=\boxed{\frac{3}{8}}

You might be interested in
Find the prime factorization of the number 20. If the number is prime, state this
mihalych1998 [28]

Answer:

Some of the prime factors are 1,2,4,5,10,20,-1,-.2,-4,-5,-10,-20, and since 5 is prime you can just start with 5 and 4

Step-by-step explanation:

3 0
3 years ago
Military radar and missile detection systems are designed to warn a country of enemy attacks. A reliability question deals with
Nadusha1986 [10]

Answer:

Step-by-step explanation:

Given that a particular detection system has a 0.83 probability of detecting a missile attack.

Also each system is independent of the other to detect missile attack.

a)  the probability that a single detection system will detect an attack=0.83

b) the probability that at least one of the systems will detect the attack given two systems= 1-Prob no system detects

=1-(1-0.83)(1-0.83)\\\\=1-0.0289\\=0.9711

c)  If three systems are installed,  the probability that at least one of the systems  will detect the attack

= 1- none of the three systems detect attack

= (1-0.17^3)\\=1-0.004913\\=0.995087

d) We find that probability of detecting is more if we increase the system form 1 to 2 and 2 to 3.

Hence for safety and defence purpose multiple detection system is recommended.

7 0
3 years ago
Give two ways to write the algebraic expression in words.<br> n - 5
Taya2010 [7]
Five less than a number n
8 0
3 years ago
What 3 ratios that are equivalent
steposvetlana [31]

Answer:

1:2, 2:4, 3:6

Step-by-step explanation:

If you times 1:2 by 2, you get 2:4. If you times 1:2 by 3, you get 3:6.

You have to multiply each individual number in the ratio.

4 0
4 years ago
Read 2 more answers
Hey! Solving linear equations with integers! i don’t think it should be that hard since it’s practice, I just need some help wit
Dmitriy789 [7]

<u>Solution</u><u> </u><u>1</u><u> </u><u>:</u><u>-</u>

>> -3 (3 - x) = 2x + 5

>> -3 × (3 - x) = 2x + 5

>> -9 + 3x = 2x + 5

>> 3x - 2x = 9 + 5

>> x = 14

<u>Solution</u><u> </u><u>2</u><u> </u><u>:</u><u>-</u>

>> -6 - 9p = 3p

>> -9p - 3p = 6

>> -12p = 6

>> p = -1/2

<u>Solution</u><u> </u><u>3</u><u> </u><u>:</u><u>-</u>

>> -5 (-4 - a) = 3a + 8

>> -5 × (-4 - a) = 3a + 8

>> 20 + 5a = 3a + 8

>> 5a - 3a = 8 - 20

>> 2a = -12

>> a = -12 / 2

>> a = -6

<u>Solution</u><u> </u><u>4</u><u> </u><u>:</u><u>-</u>

>> s - 6 = -5s

>> s + 5s = 6

>> 6s = 6

>> s = 6 / 6

>> s = 1

8 0
2 years ago
Read 2 more answers
Other questions:
  • An arrow is shot vertically upward from a platform 45 feet high at a rate of 168 ft/sec. Use the quadratic function
    12·2 answers
  • 10 POINTS....................................
    6·1 answer
  • A bakery offers a sale price of $3.25 for 3 muffins. What is the price per dozen?
    11·1 answer
  • What is the fraction of the percent 30 1/4
    15·1 answer
  • A biologist is comparing the growth of a population of flies per week to the number of flies an iguana will consume per week. He
    12·1 answer
  • Which is an equation for the given word problem?
    13·1 answer
  • Kit bought a soft drink and a sandwich for $9.00. What was the price of each if the sandwich cost 3.5 times as much as the soft
    15·1 answer
  • A) The cost of tickets to the amusement park is $22 for 1 ticket and $110 for 5 tickets
    7·1 answer
  • Mr. Crain wants to decorate his door for the first day of school. The door is 7 feet tall and 3 feet wide. How many square feet
    14·1 answer
  • An article is bought for Rs200 &amp; sold for Rs250,what is the profit percentage.​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!