Ask question

Ask question

All categories

2 years ago

8

A bag contains 3 red marbles, 7 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the exact p

robability that all three marbles drawn will be green?

1 answer:

LiRa [457]2 years ago

6 0

Probability helps us to know the chances of an event occurring. The exact probability that all three marbles are drawn will be green is 0.02198.

<h3>What is Probability?</h3>

Probability helps us to know the chances of an event occurring.

$\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}$

Given the bag contains 3 red marbles, 7 blue marbles and 5 green marbles, therefore, a total of 15 marbles. Therefore, the exact probability that all three marbles are drawn will be green can be written as,

$\rm Probability = \dfrac{5}{15} \times \dfrac{4}{14} \times \dfrac{3}{13} = \dfrac{60}{2730} = 0.02198$

Hence, the exact probability that all three marbles are drawn will be green is 0.02198.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

You might be interested in

QUESTION 9<br> Write the expression by using exponents.<br> 2.2.2.2.2.2<br> moginio<br> QUESTION 10.

lozanna [386]

Answer:

2^6

Step-by-step explanation:

2*2*2*2*2*2

There are six 2's multiplied together so the base is 2 and the exponent is 6

2^6

3 0

4 years ago

A flagpole is 12.5 m tall. It casts a 17.5 m shadow. How tall is a nearby radio tower that casts a 61.25 m shadow? _____

tresset_1 [31]

Answer:

,

Step-by-step explanation:

7 0

3 years ago

Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b?

algol [13]

Answer:

a+2b

Step-by-step explanation:

2(a+2b) -a-2b

2a+4b-a-2b

a+2b

8 0

3 years ago

Read 2 more answers

In a stack of boards at a lumber yard, the 20th board counting from the top of the stack is immediately below the 16th board cou

motikmotik

Answer:

D.34

Step-by-step explanation:

Let's the A be the 20th board counting from the top of the stack, and B be the 16th board counting from the bottom of the stack. If A is immediately below B, this means B is the 19th board counting from the top of the stack, and also there are 18 other boards that are above B. So the total number of board in the stack would be

16 + 18 = 34

D is the correct answer

7 0

4 years ago

We take a milk carton from the refrigerator and put it on the table at room temperature. We assume that the temperature of the c

Kisachek [45]

We can solve this problem using separation of variables.

Then apply the initial conditions

EXPLANATION

We were given the first order differential equation

$\frac{dT}{dt}=k(T-a)$

We now separate the time and the temperature variables as follows,

$\frac{dT}{T-a}=kdt$

Integrating both sides of the differential equation, we obtain;

$ln(T-a)=kt +c$

This natural logarithmic equation can be rewritten as;

$T-a=e^{kt +c}$

Applying the laws of exponents, we obtain,

$T-a=e^{kt}\times e^{c}$

$T-a=e^{c}e^{kt}$

We were given the initial conditions,

$T(0)=4$

Let us apply this condition to obtain;

$4-20=e^{c}e^{k(0)}$

$-16=e^{c}$

Now our equation, becomes

$T-a=-16e^{kt}$

or

$T=a-16e^{kt}$

When we substitute a=20,
we obtain,

$T=20-16e^{kt}$

b) We were also given that,

$T(5)=8$

Let us apply this condition again to find k.

$8=20-16e^{5k}$

This implied

$-12=-16e^{5k}$

$\frac{-12}{-16}=e^{5k}$

$\frac{3}{4}=e^{5k}$

We take logarithm to base e of both sides,

$ln(\frac{3}{4})=5k$

This implies that,

$\frac{ln(\frac{3}{4})}{5}=k$

$k=-0.2877$

After 15 minutes, the temperature will be,

$T=20-16e^{-0.2877\times 15}$

$T=20-0.21376$

$T=19.786$

After 15 minutes, the temperature is approximately 20°C

6 0

3 years ago