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solniwko [45]
2 years ago
5

Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso

n can be chosen from 6 people, and there are 6 different possible weapons and 9 possible rooms. At one point in the game, you have narrowed the possibilities down to 3 people, 3 weapons, and 6 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct
Mathematics
1 answer:
Step2247 [10]2 years ago
7 0

Answer:

the probability is 0.1143

Step-by-step explanation:

here are the details from the question you asked

number of people = 6

nuber of weapons = 6

number of rooms = 9

after narrowing it down to

3 people,3 weapons, and 6 rooms

= ⁶C₃ * ⁶C₃ *⁹C₆ / ²¹C₁₂

= 20 * 20 * 84 / 293930

= 33600/293930

= 0.1143

<u>The probability of making a random guess of the person who is guilty, weapon and location from this choices that have been narrowed down and the guess being correct is 0.1143</u>

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An online application charges $1.25 to download a song and $10.99 membership fee. Write an expression that gives the total cost
irina1246 [14]

Answer:

$18.49

Step-by-step explanation:

10.99+(1.25x6)

7 0
2 years ago
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Identify the corresponding word problem given the equation: x + 12.50 = 55.75 A) For mowing the neighbor's yard, Jessy was paid
sergejj [24]
The answer is A.  because for you to find the answer you have to subtract so it would be 55.75-12.5=43.25
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2 years ago
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A student has to take two quizzes tomorrow. He has only enough time to study for one of them. The history quiz has 5 true or fal
nalin [4]

Answer:

Answer:

Option B is correct.

Miguel should study for the Science quiz as he will do worse in that quiz by guessing.

Step-by-step explanation:

Miguel has to take two quizzes

1) 4 true or false questions on History with a 0.5 chance of acing the quiz

Expected number of correct questions = np

n = number of questions

p = probability of acing the test

Expected number of correct questions = 4 × 0.5 = 2

2) 3 multiple choice questions on Science with a 0.2 chance of acing the quiz.

Expected number of correct questions = 0.2 × 3 = 0.6

It is evident that guessing would yield a worse result in the Science quiz with less than 1 question expected to be correct than history, where he is still expected to get 2 questions correctly by guessing.

6 0
2 years ago
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How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings if each topping can only be chosen once
madam [21]

Answer:

24,024

Step-by-step explanation:

Calculation for How many ways can Rudy choose 4 pizza toppings from a menu of 14 toppings

The 4 pizza toppings from a menu of 14 toppings will be 14,13,12,11

Hence,

14*13*12*11=24,024

Therefore the numbers of way Rudy can choose 4 pizza toppings from a menu of 14 is 24,024

6 0
2 years ago
A region R in the xy-plane is given. Find equations for a transformation T that maps a rectangular region S in the uv-plane onto
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\begin{cases}y=2x-2\\y=2x+2\end{cases}\implies\begin{cases}-2x+y=-2\\-2x+y=2\end{cases}

For these lines, let u=-2x+y.

\begin{cases}y=2-x\\y=4-x\end{cases}\implies\begin{cases}x+y=2\\x+y=4\end{cases}

And for these, let v=x+y.

Now,

\begin{cases}u=-2x+y\\v=x+y\end{cases}\implies \begin{bmatrix}u\\v\end{bmatrix}=\underbrace{\begin{bmatrix}-2&1\\1&1\end{bmatrix}}_{\mathbf T}\begin{bmatrix}x\\y\end{bmatrix}

The vertices of S in the x-y plane are (0, 2), (2/3, 10/3), (2, 2), and (4/3, 2/3). Applying \mathbf T to each of these yields, respectively, (2, 2), (2, 4), (-2, 4), and (-2, 2), which are the vertices of a rectangle whose sides are parallel to the u-v plane.
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