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
mezya [45]
3 years ago
6

Can you help me with number 6? Confused abit Please

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0

You can see the three diagram attached. Each link is labeled with the probability: you have probability 1/6 that a six is rolled, and 5/6 that it is not rolled.


To answer the questions, find the path that brings you to the desired outcome, and multiply all the labels you meet.


First question:

To get three sixes, you have to choose the left path at each roll. The probability is always 1/6, so the answer is


\frac{1}{6} \times \frac{1}{6} \times \frac{1}{6} = \frac{1}{6^3}


Second question:

To get no sixes, you have to choose the right path at each roll. The probability is always 5/6, so the answer is


\frac{5}{6} \times \frac{5}{6} \times \frac{5}{6} = \frac{5^3}{6^3}


Third question:

To get exactly one six, it can either be the first, second or third roll.


In all cases, you have to choose the left path once and the right path twice: left-right-right mean that you get the six in the first roll, right-left-right means that you get the six in the second roll, right-right-left means that you get the six in the third roll.


In every case, the left turn has probability 1/6, and the right turn has probability 5/6. The probability of each combination is thus


\frac{1}{6} \times \frac{5}{6} \times \frac{5}{6} = \frac{5^2}{6^3}


And since there are three of these combinations, The answer is


3\frac{5^2}{6^3}


Fourth question:

Since the question suggests to use what we already achieved, let's do it: having at least one six is the complementary event of having no sixes at all. If an event has probability p, its complementary has probability 1-p. So, since the probability of no sixes is known, the probability of at least one six is


1 - \frac{5^3}{6^3}

You might be interested in
Write as many equivalent expressions to 3/4(4x-8)+1/4(4x-8)
Deffense [45]

Answer:

4x-8

Step-by-step explanation:

3/4(4x-8)+1/4(4x-8)

12/4x-24/4+4/4x-8/4

3x-6+x-2

3x+x-6-2

4x-8

8 0
2 years ago
Read 2 more answers
Volume of a box is 125 in.³ how tall is the box ?
lora16 [44]

Answer:

i dont know much detail about this question but it could be 1. simplest answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Is there some people who dont wear there retainer and still have straight teeth? cause mine still is
RideAnS [48]

Answer:

I Think Yes!

Step-by-step explanation:

Cause I Also Have A Straight Teeth and Also I Don't Wear Retainer!!

5 0
2 years ago
Complete the equation: 4 1/2 c = ? oz
vitfil [10]
4.5 cups to ounces is 36 fluid ounces.
7 0
3 years ago
Read 2 more answers
Sam and Bobby want to know who cycled faster. The table shows the total miles Sam traveled over time. The graph shows the same r
lorasvet [3.4K]
Sorry Man I need to see the graph
3 0
3 years ago
Other questions:
  • Jamie purchased a condo in Naples, Florida, for $699,000. She put 20% down and financed the rest at
    13·1 answer
  • Which values for A and B will create infinitely many solutions for this system of equations? ax-y=8 2x+y=b
    15·1 answer
  • Can someone please help me with this? I don’t understand what is given.
    12·1 answer
  • What is the perimeter of △ABC?<br> Round each step to the nearest tenth.
    7·1 answer
  • Which polynomial is equal to (-3x^2+2x-3) subtracted from (x^3-x^2+3x)?
    8·2 answers
  • 4-2x=22 relationship can be written as
    14·1 answer
  • Which of the following is NOT a part of a DNA molecule?
    13·1 answer
  • Usando las propiedades de la igualdad resuelve: 13r=117 y explica el procedimiento​
    10·1 answer
  • Help me fast please
    5·1 answer
  • Emily earns $0.30 for every 0.75 mile she bikes. How much does she earn for 15 miles?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!