Using the slot method and multiple cases, calculate the probability that you would roll 3 sixes with four standard dice.

Answer:

[tex]Pr = \frac{1}{216}[/tex]

Step-by-step explanation:

 The sample space of a single dice is:

[tex]S = \{1,2,3,4,5,6\}[/tex]

[tex]n(S) = 6[/tex]

Required:

The probability of rolling 3 sixes

In a sample space of a roll of die, we have:

[tex]n(6) = 1[/tex]

In a roll of dice, the probability of rolling a 6 is:

[tex]P(6) = \frac{n(6)}{n(S)}[/tex]

[tex]P(6) = \frac{1}{6}[/tex]

In 3 rolls, the probability is:

[tex]Pr = P(6)^3[/tex]

[tex]Pr = [\frac{1}{6}]^3[/tex]

[tex]Pr = \frac{1}{216}[/tex]

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An overnight Train left at 21 55 on a journey that took 9 h 18 min. Given that the train departed on a monday find the day and the time at which it arrived at its destination

HELPPPPPOO MEEEEE 2.0

find the mean of the data set down below. 7, -3, 6, -2, 8, 7, -4, 5, 3

Evaluate: (-2)5

10
32
-10
-32

Calculate the product below and give your answer in scientific notation.
(1.3 x 10-^2) x (0.05) = ?

(7y - 23)
(23x - 16)
(8x – 21)

In need of help ASAP

State if the three numbers can be the measures of the sides of a triangle,
6,8,9
No
Yes

Select the statement that describes this expression: 8 + fraction 1 over 2 x (6 − 2) − 1. (2 points)


8 more than half the difference of 2 and 1, and then subtract 6

Add 8 to half the difference of 6 and 2, then subtract 1

The sum of 8 and fraction 1 over 2 times 6 plus 2 minus 1

1 less than half of 6 plus the sum o

The salary of the president and vice president were a total of $576,300 a year. If the president makes $203,700 more a year than the vice president, how much does the vice president make?
A. $166,300
B. $186,300
C. $390,000
D.$286,000

A triangle has an area of 230.86 square inches.the height of the triangle is 23.8 inches .what is the length of the base of the Triangle

Directions: Solve for x.
1.

7. The table shows the cost for ordering a certain number of pieces of chicken.
What is the value of x if the cost is proportional to the number of chicken
pieces ordered?
Pieces of Chicken Ordered
2
3
4
6
Cost
$3.00
$4.50
$6.00
A. $4.00
B. $9.00
C. $1.50
D. $6.67

There were f frogs in a pond. 36 of the frogs hopped away. Write the expression that shows how many frogs are in the pond now.

A carver begins work on the following block of granite. What is the volume of the granite? Be sure to include units. ​

You are entering a fitness competition at school. Students train for several weeks to win prizes for different competition. 2) Last years winner set a school record by completing 37 sit-ups. You need to find out how many weeks you need to train to beat this record. Part B: Write the inequality and graph the solution. How many weeks will it take you to break the record?
​

Torrence wants to remodel apartment . The first thing he is Going to do is replace the floors in the living space and kitchen .

The volume of a rectangular prism, in cubic inches, is given by the expression
x^3+3x^2-4x+7. The volume of the smaller prism is given by the expression
5x^3-6x^2-6x-17. How much great is the volume of the larger rectangular prism is than the smaller prism?

Help fill in the empty boxes

Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.​

The high school students who attend Springfield Women's Academy are eligible to tryout for various teams within the athletic department. Students are 74% likely to tryout for softball; 27% likely to tryout for volleyball; 42% likely to tryout for tennis; and 88% likely to tryout for swimming. Many students choose to tryout for multiple teams. Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.If Event A = freshman or sophomore, what is Event A'?

Event A' = freshman or senior
Event A' = freshman or junior
Event A' = sophomore or senior
Event A' = junior or senior

5. Find the value of x.
B
90°
9
А

Bonus: Jenny decides to plant all tomato plants in her garden. When full grown, the plants will need a 2.5 ft by 2.5 ft
space. How many tomato plants can Jenny plant in her garden? It packages of seeds come with 20 seeds and cost $4.00
each, how much will she spend in seeds?

Trisha helped clean up her neighborhood by picking up plastic she collected 3/4 pound of plastic the first day and 1/6 pound of plastic the second day how much more trash did she collect the first day than the second day?

19. y = 3x? - 12x

Find the discrimanite of each equation.Then,determine the number of solution

need help with this step by step please and thank you

HELP ASAP!!!
What is the surface area of a number cube on which each edge has a length of 11 millimeters? (Hint: On a cube, the length, width, and height have the same measure.)

726 mm2
1331 mm2
242 mm2
132 mm2

Read number 5 and help me out plz add an explanation

The number line represents 1 unit. What is the distance from 0 to point C on the number line?
A) 5/2 units
B) 4/5 units
C) 3/10 units D) 4/10

please help i don't know what to do​

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