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
damaskus [11]
3 years ago
7

What is the probability of drawing yellow marble followed by a red marble from a bag containing 12 yellow marbles, 16 red marble

s, and 15 green marbles if the first marble is not replaced?
a. 18/43
b. 32/301
c. 192/1,849
Mathematics
1 answer:
boyakko [2]3 years ago
7 0

Option B

Probability of drawing yellow marble followed by a red marble is \frac{32}{301}

<em><u>Solution:</u></em>

Given that a bag containing 12 yellow marbles, 16 red marbles, and 15 green marbles

So total number of marbles = 12 + 16 + 15 = 43

To find: probability of drawing yellow marble followed by a red marble if the first marble is not replaced

<em><u>The probability of an event is given as:</u></em>

probability =\frac{\text { number of favorable outcomes }}{\text { total number of possible outcomes }}$

<em><u>probability of drawing yellow marble followed by a red marble if the first marble is not replaced:</u></em>

First we pick up yellow marble.

Number of favorable outcomes = 12 yellow marbles

Total number of possible outcomes = 43 marbles

\text{ probability} = \frac{12}{43}

Now we have to pick red marble

But first marble is not replaced

So we have 43 - 1 = 42 number of possible outcomes

Favorable outcomes = 16 red marbles

\text{ probability} = \frac{16}{42}

So probability of drawing yellow marble followed by a red marble is:

\text[ probability } = \frac{12}{43} \times \frac{16}{42} = \frac{32}{301}

Thus probability of drawing yellow marble followed by a red marble is \frac{32}{301}

You might be interested in
Add a number to this data set so that the mode is 4 and the median is 6. P.S show your work plz
viktelen [127]
Https://youtu.be/5C9LBF3b65s this should help you understand it 
4 0
2 years ago
What is the volume of a cylinder with height 4 and radius 2? Use 3.14 for pi.
Over [174]

Answer:

50.27

v=3.14 (2 squared) 4

5 0
3 years ago
Why is a system’s work output limited
OlgaM077 [116]
Sometimes system outputs are limited because the amount of the necessary information that is perceived in the system .
8 0
3 years ago
ryan rides his bicycle 5 miles in 3/4 hour. how many miles can he ride at the same rate in 1 hour? (in fractions)​
stepladder [879]

Answer:

20/3

Step-by-step explanation:

If Ryan rides his bike 5 miles in 3/4 of an hour, then he rides 5/3 miles in 1/4 of a hour (divide both by 3). To get to a full hour from 1/4, you need to multiply it by 4. You must do the same for 5/3. 5/3*4 is equal to 20/3.

6 0
2 years ago
Last year, Gena’s food cart business was $225 in debt. This year, the debt has tripled. Which expressions show how much Gena’s b
NeX [460]

Answer:

B and E

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • Three coins are in a bag. the first coin flips heads with probability 50%, the second coin flips heads with probability 60%, and
    14·1 answer
  • What is the radius of a circle that has circumference of 81pi square inches?
    14·1 answer
  • The total cost of 5 doughnuts and 6 cookies at a bakery is $11.95.The cost of each cookie is $0.95.Select the equation and its s
    11·1 answer
  • Dr.cooper just started an experiment. He will collect data for 8 days. How many hours is this
    11·2 answers
  • Evaluate - x - 4 when x = - 7 and y=5
    13·1 answer
  • Val is making curtains she has a roll of ice that is 2.5 m long she cuts off a length of lace 0.9 long . How much lace is left o
    8·1 answer
  • Find the slope of the line that passes through the given points.<br> (-5,6) and (2,6)
    6·1 answer
  • Does anyone know what 3x4/5x6 is
    6·2 answers
  • You rent an apartment that costs $900 per month during the first year, but the rent is
    14·2 answers
  • Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used,Consider the functions given below.P(x) =
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!