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UNO [17]
3 years ago
6

Regions $A, B, C, J$ and $K$ represent ponds. Logs leave pond $A$ and float down flumes (represented by arrows) to eventually en

d up in pond $B$ or pond $C$. On leaving a pond, the logs are equally likely to use any available exit flume. Logs can only float in the direction the arrow is pointing. What is the probability that a log in pond $A$ will end up in pond $B$?
Mathematics
2 answers:
Leni [432]3 years ago
7 0

Answer:

5/18

Step-by-step explanation:

There is a 1/3 chance of going to k. From K, there is a 1/2 chance of going to b, so that way has a prob of 1/6. By the same concept, there is a 1/9 chance of going to B via J. The prob you are asking for is 5/18

Amiraneli [1.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

1 1/5

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Probability question, which I am stuck on!
son4ous [18]

Answer:

land on 3: 36 times

land on 4: 63 times

Step-by-step explanation:

A biased dice is the opposite of a fair dice.

A fair dice has the same probability of landing any of the six numbers: 1/6

The biased dice has different probabilities for its results.

To solve this question, first we need to find the probability of landing a 3.

The sum of all probabilities need to be 1, so:

0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1

p(3) = 1 - 0.88 = 0.12

If we roll the dice 300 times, the expected number of times the dice will land:

on 3: 300 * p(3) = 300 * 0.12 = 36 times

on 4: 300 * p(4) = 300 * 0.21 = 63 times

7 0
3 years ago
Which expression has a value of StartFraction 1 Over 36 EndFraction? (StartFraction 1 Over 108 EndFraction) cubed (StartFraction
IrinaVladis [17]

Answer:

(1/6)^2

Step-by-step explanation:

We want to find the fraction that is equivalent to 1/36.

Let us look at each of them individually:

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b. (\frac{1}{9})^4 =  \frac{1}{6561}

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d. (\frac{1}{5})^2 = \frac{1}{25}

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4 0
3 years ago
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Nata [24]
70


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7 0
3 years ago
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Help me find the answer <br>Tan 0 and Cot O ​
vesna_86 [32]

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

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b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

3 0
3 years ago
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statuscvo [17]

Answer:

3

Step-by-step explanation:

d=√8-5 = √9 = 3

4 0
3 years ago
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