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aivan3 [116]
3 years ago
9

I need help please .....

Mathematics
1 answer:
4vir4ik [10]3 years ago
3 0

Answer:


Step-by-step explanation:

4) On this problem you would have to convert the improper fraction into a mixed number so..

17/4 = 4\frac{1}{4}

and

34/4 = 8\frac{2}{4}


   

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What is the probability that A occurs qiven that B occurs ?
madreJ [45]
Dependent events

A and B are dependent events. This means that the outcome of B affects the outcome of A.

We have that "the probability that A occurs given that B occurs" is symbolized by

P(A|B)

This is what we want to find.

We have that:

P(A): probability that event A occurs.

P(A) = 1/4

P(B): probability that event B occurs.

P(B) = 8/9

P(A&B): probability that both events A and B occurs.

P(A&B) = 1/5

We have that:

\begin{gathered} P\mleft(A\&B\mright)=P\mleft(B\mright)\cdot P\mleft(A|B\mright) \\ \downarrow \\ \frac{P(A\&B)}{P(B)}=P(A|B) \end{gathered}

Replacing in the equation:

\begin{gathered} \frac{P(A\&B)}{P(B)}=P(A|B) \\ \downarrow\text{ since }P\mleft(A\&B\mright)=\frac{1}{5}\text{ and }P\mleft(B\mright)=\frac{8}{9} \\ \frac{\frac{1}{5}}{\frac{8}{9}}=P(A|B) \end{gathered}

Since,

\frac{\frac{1}{5}}{\frac{8}{9}}=\frac{1}{5}\cdot\frac{9}{8}=\frac{9}{40}

Then

P(A|B)=\frac{9}{40}<h2>Answer: 9/40</h2>

7 0
1 year ago
Please answer both asap!!!
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Standard 6 sided die is weighted so that the probabilities of rolling 2,3,4,5 or 6 are equal and the probability of rolling 1 is
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There are 6 sides of the die, let us say that side 1 is S1, side 2 is S2 and so on.

Assigning a value of 3 to S1, so the probabilities are:

                                          Probability

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S2 = 1                                    1/8

S3 = 1                                    1/8

S4 = 1                                    1/8

S5 = 1                                    1/8

S6 = 1                                    1/8

total = 8                               

 

The combinations that the sum of the two rolls will be 4 are:

S1 and S3

S3 and S1

S2 and S2

 

So the total probability is:

P = (3/8) * (1/8) + (1/8) * (3/8) + (1/8) * (1/8)

P = 0.1094 = 10.94%

 

So there is about 0.1094 or 10.94% probability that the sum will be 4.

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3 years ago
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