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Sedbober [7]
3 years ago
6

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 66 people, and there are 66 different possible weapons and 99 possible rooms. At one point in the game, you have narrowed the possibilities down to 44 people, 55 weapons, and 77 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:
Amanda [17]3 years ago
6 0

Answer:

The probability of making a correct random guess is 0.00053%.

Step-by-step explanation:

Since Clue is a board game in which you must deduce three details surrounding a murder, and in the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms, and at one point in the game, you have narrowed the possibilities down to 44 people, 55 weapons, and 77 rooms, to determine 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, the following calculation must be performed:

(1 / (44x55x77)) x 100 = X

(1 / 186,340) x 100 = X

0.0005366 = X

Therefore, the probability of making a correct random guess is 0.00053%.

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STEP

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Equation at the end of step 1

                    ((25•(b-1))•(c-3))

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STEP

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Equation at the end of step

2

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                    ((25•(b-1))•(c-3))

 (((12•(b4))•(c-6))•——————————————————)•(2•5b(-5)c)

                       ((3•5b3)•c4)  

STEP

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Equation at the end of step

3

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                    (52b(-1)•c(-3))

 (((12•(b4))•(c-6))•———————————————)•(2•5b(-5)c)

                       (3•5b3c4)  

STEP

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           52b(-1)c(-3)

Simplify   ————————————

            (3•5b3c4)  

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Dividing exponential expressions :

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Dividing exponents:

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Equation at the end of step

4

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                      5  

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STEP

5

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Equation at the end of step

5

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                         5  

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Equation at the end of step

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STEP

7

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Dividing exponential expressions :

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Final result :

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 —————

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