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fgiga [73]
3 years ago
9

Suppose each of 12 players rolls a pair of dice 3 times. Find the probability that at least 4 of the players will roll doubles a

t least once. (Answer correct to four decimal places.)
Mathematics
1 answer:
polet [3.4K]3 years ago
7 0

Answer:

Our answer is 0.8172

Step-by-step explanation:

P(doubles on a single roll of pair of dice) =(6/36) =1/6

therefore P(in 3 rolls of pair of dice at least one doubles)=1-P(none of roll shows a double)

=1-(1-1/6)3 =91/216

for 12 players this follows binomial distribution with parameter n=12 and p=91/216

probability that at least 4 of the players will get “doubles” at least once =P(X>=4)

=1-(P(X<=3)

=1-((₁₂ C0)×(91/216)⁰(125/216)¹²+(₁₂ C1)×(91/216)¹(125/216)¹¹+(₁₂ C2)×(91/216)²(125/216)¹⁰+(₁₂ C3)×(91/216)³(125/216)⁹)

=1-0.1828

=0.8172

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3 0
2 years ago
José made a scale model to compare the Petronas towers, which are 1483 feet tall, to the Empire State Building, which is 1250 fe
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The model of the Petronas towers is 4.7 inches taller than the model of the Empire State Building

Step-by-step explanation:

The given is:

  • José made a scale model to compare the Petronas towers, which are 1483 feet tall, to the Empire State Building, which is 1250 feet tall
  • In the model, the empire state building is 25 inches tall

We need to find how much taller than the model of the empire state building is the model of the Petronas towers

∵ The model of the empire state building is 25 inches tall

∵ The Empire State Building is 1250 feet tall

- Let us find the scale drawing

→  inches  :  feet

→  25         :  1250

Divide both sides of ratio by 25

→  1             :  50

That means each 1 inch in the model represents 50 feet in real

∴ The scale drawing is 1 inch : 50 feet

Use this scale to find the model length of Petronas towers

→  inches  :  feet

→  1            :  50

→  x            :  1483

By using cross multiplication

∴ x × 50 = 1 × 1483

∴ 50 x = 1483

- Divide both sides by 50

∴ x = 29.66

∵ x represents the length of Petronas towers model

∴ Petronas towers model is 29.66 inches tall

Now find the difference between the lengths of the two models

∵ The difference = 29.66 - 25 = 4.66 inches

- Round it to the nearest 0.1 inch

∴ The model of Petronas towers is 4.7 inches taller than the

   model of the Empire State Building

The model of the Petronas towers is 4.7 inches taller than the model of the Empire State Building

Learn more:

You can learn more about the scale drawing in brainly.com/question/570757

#LearnwithBrainly

8 0
3 years ago
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