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sdas [7]
2 years ago
4

An urn contains 1 green ball, 1 red ball, 1 yellow ball and 1 white ball. I draw 4 balls with replacement. What is the probabili

ty that there is at least one color that is repeated exactly twice?
Mathematics
1 answer:
zubka84 [21]2 years ago
4 0

Answer:

Probability P(getting exactly 1 colour repeated twice) = 1/128

Step-by-step explanation:

Green ball=1, red ball = 1 , Blue ball=1 , yellow ball =1

Assuming the two colours are green balls

P(Green ball)= 1/4

P( green ball)= 1/4

P( blue ball)= 1/4

P(yellow or white)= 2/4

P(getting exactly 1 colour repeated twice)= 1/4 ×1/4 ×1/4 ×2/4 = 2/256 =1/128

You might be interested in
Suppose two different methods are available for eye surgery. The probability that the eye has not recovered in a month is 0.002
umka21 [38]

Answer:

0.4007

Step-by-step explanation:

Let's define the following events:

A: method A is used

B: method B is used

NR: the eye has not recovered in a month

R: the eye is recovered in a month

The probability that the eye has not recovered in a month is 0.002 if method A is used, i.e., P(NR|A) = 0.002, so P(R|A) = 0.998.

When method B is used, the probability that the eye has not recovered in a month is 0.005, i.e., P(NR|B) = 0.005, so P(R|B) = 0.995.

40% of eye surgeries are done with method A, i.e., P(A) = 0.4

60% of eye surgeries are done with method B, i.e., P(B) = 0.6

If an eye is recovered in a month after surgery is done in the hospital, what is the probability that method A was performed? We are looking for P(A|R), then, by Bayes' Formula

P(A|R) = P(R|A)P(A)/(P(R|A)P(A) + P(R|B)P(B)) = 0.998*0.4/(0.998*0.4 + 0.995*0.6) = 0.4007

4 0
2 years ago
70.18 divided by 0.9 round the answer to the nearest hundredth
storchak [24]

Answer:

77.98

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Catron evaluates the expression (negative 9) (2 and two-fifths) using the steps below.
Ede4ka [16]

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

Step-by-step explanation:

We need to  describes Catron’s error?

The steps are:

Step 1: (Negative 9) (2 + two-fifths)

Step 2: (Negative 9) (Negative 2) + (negative 9) (two-fifths)

Step 3: Negative 18 + (negative 9) (two-fifths)

Step 4: (negative 27) (two-fifths)

Solution: Negative StartFraction 54 over 5 EndFraction = Negative 10 and four-fifths

The error is:

She incorrectly broke up 2 and two-fifths.

Option A is correct option.

<u>Solving </u>

Solving the equation by removing the error:

Step 1: (Negative 9) (2 + two-fifths)

taking LCM of 2 and two-fifths (2/5)

Step 2: (Negative 9) (twelve-fifths)

Step 3: (Negative 9*twelve)-fifths

Step 4: Negative one hundred and eight- fifths

Solution: Negative StartFraction -108 over 5 EndFraction = Negative one hundred and eight- fifths

Keywords: Solving Expressions

Learn more about Solving Expressions at:

  • brainly.com/question/2456302
  • brainly.com/question/7014769
  • brainly.com/question/11007572
  • brainly.com/question/11334714

#learnwithBrainly

5 0
2 years ago
Read 2 more answers
An election for a new treasurer was held at a recent trade conference. In the election, Jamal received 40% of the votes, and his
Maurinko [17]

Answer:

Jamal received 2,880 votes

Step-by-step explanation:

In the election,

Jamal received 40% of all votes

Tran received 100% - 40% = 60% that is 4,320 votes

Let x be the number of votes Jamal received. Then

x - 40%

4,320 - 60%

Write a proportion:

\dfrac{x}{4,320}=\dfrac{40}{60}\\ \\\text{Cross multiply}\\ \\60\cdot x=40\cdot 4,320\\ \\x=\dfrac{40\cdot 4,320}{60}=\dfrac{2\cdot 4,320}{3}=\dfrac{2\cdot 1,440}{1}=2,880

5 0
2 years ago
If Machine A makes a yo-yo every five minutes and Machine B takes ten minutes. How many hours would it take them to make 20yo−yo
olga nikolaevna [1]

Answer:

Time in minutes = 66 2/3

Time in hours = 1.11

Step-by-step explanation:

Problem:

Time taken by both machine to make 20  yo-yo

let the time taken be x minutes

Given

Time taken by machine A  to make 1 yo-yo = 5 mins

No. of yo-yo made by machine A in x minutes = x/5

Time taken by machine B  to make 1 yo-yo = 10 mins

No. of yo-yo made by machine B in x minutes = x/10

Total no. of yo-yo made by both the machine = x/5 + x/10 = (2*x+x)/10

Total no. of yo-yo made by both the machine = 3x/10

But given that together they made 20 yo -yo

Thus,

3x/10 = 20

=> x = 20*10/3 = 200/3

Thus, it took 66 2/3 minutes to make 20 yo-yo by both of them

In one hour there is 60 minutes

Time taken in Hours will be = 200/3*60 = 200/180 = 10/9 = 1 1/9= 1.11 hours

4 0
2 years ago
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