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]

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

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

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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.

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

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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

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

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

Read number 5 and help me out plz add an explanation

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?

please help i don't know what to do​

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

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

HELPPPPPOO MEEEEE 2.0

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

Directions: Solve for x.
1.

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

5. Find the value of x.
B
90°
9
А

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

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.​

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

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?
​

Help fill in the empty boxes

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?

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?

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