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
Andrews [41]
3 years ago
5

You have a rather strange die: Three faces are marked with the letter A, two faces with the letter B, and one face with the lett

er C. You roll the die until you get a B. What is the probability that a B does not appear during the first three rolls?
Mathematics
2 answers:
Gnesinka [82]3 years ago
6 0

Answer:

8/27 ≈ 29.6%

Step-by-step explanation:

Two of the six faces are B, which means four of the six faces are not B.

The probability of rolling not B three times is:

P = (4/6)^3

P = (2/3)^3

P = 8/27

P ≈ 29.6%

tatuchka [14]3 years ago
5 0

Answer:

8/27 = 0.296 = 29.6%

Step-by-step explanation:

Given that the die faces are as follows:

A A A   B B    C

i.e :

P( rolls A) = 3/6

P (rolls B) = 2/6

P (rolls C) = 1/6

for any single roll,

P (rolls not B) = P(rolls A) + P(rolls C)

P (rolls not B) = 3/6 + 1/6 = 4/6 = 2/3

for 3 consecutive rolls

P ( B does not appear) = P(rolls not B) * P(rolls not B) * P(rolls not B)

= P(rolls not B) ³

= (2/3)³

= 8/27 = 0.296 = 29.6%

You might be interested in
The differential equation in Example 3 of Section 2.1 is a well-known population model. Suppose the DE is changed to dP dt = P(a
LuckyWell [14K]

Answer:

Decreases

Step-by-step explanation:

We need to determine the integral of the DE;

dP/dt=P(aP-b)

dP=P(aP-b)dt

1/(dP^2-bP)dP=dt

We can solve this by integration by parts on the left side. We expand the fraction 1/P²:

1/(d-b/P)\cdot{P^2} dP

let

u=d-b/P

du/dP=b/P^2

dP=\int\limits {P^2/b} \, du

P=lnu/b

Substitute u in:

P=ln(d-b/P)/b

Therefore the equation is:

ln(d-b/P)/b=t

We simplify:

d-b/P=e^b^t

P=b/(d-e^b^t)

As t increases to infinity P will decrease

6 0
3 years ago
Without using technology, describe the end
victus00 [196]

Answer:

Up on the left, up on the right

Step-by-step explanation:

The given function is:

f(x)=3x^{4}+8x^{2}-22x+43

The degree of f(x) is 4 i.e. an even degree and the leading coefficient i.e. coefficient with highest powered variable is positive in sign.

The graph of a function with even degree always open on same side from both ends. This depends on the sign of leading coefficient what will be the direction of both ends. The positive sign indicates upward opening and negative sign indicates downward opening.

Since, the leading coefficient of f(x) is positive, it will open towards up from both right and left side. So, the correct option is the fourth option.

7 0
3 years ago
Which fractions are greater than -5/16 ?
AlladinOne [14]
-5/16 

Our choices:-

A.-3/8
 
 
 B.-11/12
 
 
 C.-1/4
 
 
<span> D.-1/8
</span>
Let us get all of them with a LCD

-1*2 = -2
8*2 = 16

-2/16 is not bigger than -5/16

-11/12 is bigger than -5/16 because half of 16 is 8.

-1*4 = -4
4*4= 16

-4/16 is not bigger than -5/16

-1/8 is smaller than -5/16

Final answer: -11/12 is the only fraction bigger than -5/16

3 0
3 years ago
Read 2 more answers
Which one is it ? I need help<br> 1. 60<br> 2. 55<br> 3. 65<br> 4. 180
Alexeev081 [22]
The answer should be 55
6 0
2 years ago
Read 2 more answers
If the total area of a dartboard is 30,000 mm2 and the area of the bull's-eye is 1000 mm2, what is the probability of getting a
AlladinOne [14]
Chances of hitting bull's-eye is \frac{1000}{30,000} that =\frac{1}{30} 1-:30= 0.03= 3% 
3 0
3 years ago
Read 2 more answers
Other questions:
  • Given angle measurements of 40°, 45°, and 95°, how many triangles can be constructed?
    12·2 answers
  • solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
    10·1 answer
  • Does anyone know the answer to this?
    13·1 answer
  • What is the slope of the line that passes through the pair of points? (-5.5, 6.1), (-2.5, 3.1)
    10·2 answers
  • elle wanted to order candy online. Company a is offering two and a half lbs. of chocolate for $32.50 while company b is offering
    12·1 answer
  • Please help on two math questions. I don’t understand how to do them.
    9·1 answer
  • Plz help first right gets brainly
    14·2 answers
  • Find the roots of f(x)=x^2+10x−96
    10·1 answer
  • 68.1 x 0.8<br> help me please or im gonna fail :(
    15·1 answer
  • Given the information in the diagram below, what is the measure of LBEC?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!