1 answer

A fair die is rolled 3 times. A 4 is considered "success", while all other outcomes are "failures". What is

Question:

A fair die is rolled 3 times. A 4 is considered "success", while all other outcomes are "failures". What is the probability of 2 successes?

Answers

# P("2 successes") = 5/72#

Explanation:

For any particular throe of the dice, then:

# P(S) = 1/6 ; P(F) = 5/6 #

So if we roll the dies three times; then the permutations are as follows;

enter image source here

Thus the probably of 2 successes is:

# P("2 successes") = P(FSS) + P(SFS) + (SSF) #
# " " = 5/6 1/6 1/6 + 1/6 5/6 1/6 + 1/6 1/6 5/6 #
# " " = 3* 5/6 1/6 1/6 #
# " " = 15/216 #
# " " = 5/72 #

.

Similar Solved Questions

1 answer
Can somebody help me with problem 4 please 3. A fluid of viscosity 5 Pa s...
can somebody help me with problem 4 please 3. A fluid of viscosity 5 Pa s and density 1,025 kg/m' is being pumped through a cast iron pipe (€ = 259 x 10m) of length 14 m and diameter 8 cm at the rate of 4 kg/s. What is the power required for this? 4. In the above problem, calculate the ...
1 answer
557 Instructions Compute the amount of total stockholders t he number of shares of capital stock...
557 Instructions Compute the amount of total stockholders t he number of shares of capital stock outstand Ok Value per share following cach sucessive transaction. Organize your solution as three-column schedule with these separate come headlines (1) Total Stockholders Equity. Number of Shares Outsta...
1 answer
2. (3 points) A chloride of silicon contains 79.1 mass % Cl. A) What is the...
2. (3 points) A chloride of silicon contains 79.1 mass % Cl. A) What is the empirical formula of the chloride? B) If the molar mass is 269 g/mol, what is the molecular formula?...
1 answer
Assume there were 6,000 units in beginning work in process, 60% complete. 20,000 units were completed...
Assume there were 6,000 units in beginning work in process, 60% complete. 20,000 units were completed during the month. Ending work in process is 40% complete, which is equivalent to 3,200 units for conversion costs. Materials are added at the beginning of the process. The standard cost method is us...
1 answer
Answer the following questions relating to the Bohr model of a hydrogen atom. (Be careful with...
Answer the following questions relating to the Bohr model of a hydrogen atom. (Be careful with the sign of your answers). (a) What is the energy of the n = 4 level of a H atom? J (b) What is the energy of the n = 8 level of a H atom? J (c) What is ?E for the n = 4 to n = 8 transition? J #2. Determ...
1 answer
Figure below shows a Carnot vapor power cycle. It is at steady state. Water enters the...
Figure below shows a Carnot vapor power cycle. It is at steady state. Water enters the boiler as a mixture with a quality of 0.1 (point 4) and saturated water vapor leaves the boiler (point 1). Both points 2 and 3 are mixtures. Pressure in process 4-1 is 80 bar while pressure in process 2-3 is 8 bar...
1 answer
What are seed plants?
What are seed plants?...
1 answer
Part C. The following dataset has 6 instances where each instance has two attributes al and...
Part C. The following dataset has 6 instances where each instance has two attributes al and a2 and a label x, o, or +: pl: (0,1,x) p2: (1,1, x) p3: (1,2,0) p4: (2,2,0) p5: (2, 3, +) p6: (3, 2, +) Cl. If the city block distance is used along with INN classi- fication, then what would be the class of ...
1 answer
A random sample size 15 was taken from a normaly distributed pop with a mean of...
a random sample size 15 was taken from a normaly distributed pop with a mean of 26 and standard deviation of 6 mu x bar sigma x bar can we conclude the sampling distribution of the sample mean is normal...
1 answer
5(2x - 10)/2 + 14 = 19 Tried working this, need help-please 5x-50/2 or 10x - 50/2
5(2x - 10)/2 + 14 = 19Tried working this, need help-please 5x-50/2 or 10x - 50/2...
1 answer
Junit test provided, won't take you more than 15 mins. Be sure you can pass the...
Junit test provided, won't take you more than 15 mins. Be sure you can pass the test. --------------------------------------------------------- For this problem you will need to write the Square superclass and 2 subclasses of Square. The name of each of the classes you will write and the work th...
1 answer
Given the following expectations information on U.S. Treasury instruments: 1-year note yield = 1.83%                       5-year note...
Given the following expectations information on U.S. Treasury instruments: 1-year note yield = 1.83%                       5-year note yield = 2.79% 2-year note yield = 1.99%  &nbs...
1 answer
Restaurants A & B are the only places open for breakfast on Saturday mornings in Small...
Restaurants A & B are the only places open for breakfast on Saturday mornings in Small Town, USA. 60% of the people in Small Town that go out for breakfast on Saturday mornings go to restaurant A. Restaurant A has a customer satisfaction rating of 98% (2% unsatisfied). Restaurant B has a custome...
1 answer
15:00 Time Lefto 37:30 Tarunpreet kun Browser + Webcam Question 11 (1 point) Calvin was playing...
15:00 Time Lefto 37:30 Tarunpreet kun Browser + Webcam Question 11 (1 point) Calvin was playing tennis. He served a ball with a velocity of 0.0053 km de of elevation of 19.6°. The height of the ball at the time of impact with tennis the racket was 3.5 m. What was the magnitude of the vertical ve...
1 answer
If the sum of three consecutive integers is 39, what are the three integers?
If the sum of three consecutive integers is 39, what are the three integers?...
1 answer
O 7.24 Question 5 1 pts Find Quartiles 01, 92 and Q3 for the following data...
O 7.24 Question 5 1 pts Find Quartiles 01, 92 and Q3 for the following data collection: 48, 32, 23, 14, 24, 45, 50, 42, 56, 90, 66, 71, 68, 70 O Q1 14, Q2-48, Q3 90 O Q1 = 48, Q2 = 45, Q3 = 71 ( Q1-32, Q2 49, Q3 68 0 Q1 23, Q2 50, Q3 90 O 36 O 29 D Question 3 1 pts Calculate Sample Variance for the ...
1 answer
Write down five metaphors Coates uses and discuss the efficacy of each-- that is why and...
Write down five metaphors Coates uses and discuss the efficacy of each-- that is why and how the metaphor is effective. 2 The Nursing Assistant and the Care Team the members of the care team (E) Develops a treatment plan to increase move- 1. Identify and describe how the care team works together...