When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome.

Question

14-03-2018
Mathematics

contestada

When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34. Suppose you flip two such thumbtacks, one at a time. Make a list of all the possible arrangements using U for up and D for down. Find the probabilities of each possible outcome.

Respuesta :

Otras preguntas

Hudson and his children went into a movie theater where they sell bags of popcorn for $7 each and candies for $3 each. Hudson has $55 to spend and must buy at l

In this method, the writer lists the major points of comparison/contrast between subjects and discusses them one at a time: O point-by-point comparison O subjec

What is the best option for configuring an automatic reply when you will be out of the office for a week?

how did the development of international trade routes affect social structures in the period 1450-1750 CE

Which statement describes the graph of this function?f(x) = -3 | x - 1 | + 12 A. The graph opens upward, and its vertex lies at (1, -12) B. The graph opens upwa

Were you able to identify factors that affected your sense of physical wellbeing? (For example, sleep, diet, exercise, etc.)

make a frequency distrubution table using tally marks

C A 15 cm G B D Find the Circumference of this Circle

Brianna earns $130.50 for 6 hours of work. If she makes a constant hourly wage, which table represents the relationship between the number of hours she works an

please help find the measures of the numbered angles in the rhombus and explain, i dont get it. thank u!!!

MrEquation MrEquation · Answer 1 · 2018-03-23T13:29:54+01:00

Answer: There are 4 possibilities. They are all listed below with their percents.

You can create a tree diagram to shows all of the possibilities. It will start with 2 branches and then each of those branches will have 2 branches.

The possibilities are: UU, UD, DU, DD

To find the probabilities of each, you have to multiply the percent for each together.

UU = 0.66 x 0.66 = 0.4356
UD = 0.66 x 0.34 = 0.2244
DU = 0.34 x 0.66 = 0.2244
DD = 0.34 x 0.34 = 0.1156

FelisFelis FelisFelis · Answer 2 · 2019-10-30T09:22:50+01:00

Answer:

The total number of possible ways are: {(U,U), (U,D), (D,U), (D,D)}

The required table is shown below:

UU UD DU DD

Probability 0.4356 0.2244 0.2244 0.1156

Step-by-step explanation:

Consider the provided information.

When a certain type of thumbtack is flipped, the probability of its landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34.

Part (A) We need to make a list of all the possible arrangements using U for up and D for down.

Let both thumbtack landing tip up (U) = (U,U)

Let one thumbtack landing tip up and landing tip of second is down = (U,D), (D,U)

Let both thumbtack landing tip down (D) = (D,D)

Hence, the total number of possible ways are: {(U,U), (U,D), (D,U), (D,D)}

Thus, there are 4 possible ways.

Part (B) Find the probabilities of each possible outcome.

It is given that landing tip up (U) is 0.66 and the probability of its landing tip down (D) is 0.34.

Probability of (U,U) is = 0.66×0.66=0.4356

Probability of (U,D) is = 0.66×0.34=0.2244

Probability of (D,U) is = 0.34×0.66=0.2244

Probability of (D,D) is = 0.34×0.34=0.1156

The required table is shown below:

UU UD DU DD

Probability 0.4356 0.2244 0.2244 0.1156