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GuDViN [60]
3 years ago
6

I'm stumped here. Will give 100 points and brainliest,

Mathematics
2 answers:
loris [4]3 years ago
8 0
I think its B but im not that sure


aleksandr82 [10.1K]3 years ago
7 0
Liter X
Fruit Juice Y
x+1.5y =130
x+y=100
0.5y=30
y=60
x=40
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Explain why P(A|D) and P(D|A) from the table below are not equal.
trasher [3.6K]

Answer:

The Probability that Event A and  Event D occur is equal to the probability Event A occurs times the probability that Event D occurs, given that A has occurred.


P(A\cap D)=P(A)\cdot P(D/A)

We can find the values of P(A/D) and P(D/A) using the above form formula.

P(D/A)=\frac{P(A\cap D)}{P(A)} ;

P(A/D)=\frac{P(D\cap A)}{P(D)}

From the given table, we have the values of P(A), P(D), P(D\cap A) and P(A\cap D).

Since, Probability=\frac{The number of wanted outcomes }{the number of possible outcomes}

∴P(A)=\frac{8}{17}, P(D)=\frac{10}{17}, P(A\cap D)=\frac{2}{17} and P(D\cap A)=\frac{2}{17}

Now, putting these values in above formula we get,

P(D/A)=\frac{\frac{2}{17}} {\frac{8}{17}}

P(D/A)=\frac{2} {8}=\frac{1}{4}

P(D/A)= \frac{1}{4}.

P(A/D)=\frac{\frac{2}{17}} {\frac{10}{17}}=\frac{2}{10}

P(A/D)=\frac{1}{5}

As, you can see above that the values of P(A|D) and P(D|A) are not equal.









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