One plant from a garden is randomly selected. There is a 30% chance that the plant was purchased this year, and there is a 6% chance that the plant was purchased this year and produces berries. What is the probability that the chosen plant does not produce berries, given that the plant was purchased this year? Write the probability as a percent. Round to the nearest tenth if needed.

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- anonymous

- katieb

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- anonymous

- mathmate

|dw:1440510204253:dw|
One way to look at it is by the Venn Diagram. 30 out of 100 was purchased this year.
6 of those (from this year, namely 30) produced berries.
How many of those from this year did not produce berries?
What is the corresponding probability (out of the 30 from this year) that plants did not produce berries?

- anonymous

THanks for doing the step by step

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## More answers

- mathmate

Alternatively, use definition of conditional probability:
P(no berries | from this year)=P(no berries and plants from this year)/P(plants from this year)
=(24/100)/(30/100)

- anonymous

8000?

- anonymous

- anonymous

or 0.8

- mathmate

Probabilities are always between 0 and 1.
If it goes outside, check and double check.
Hope you put in the parentheses when you evaluated the expression above.

- mathmate

Yes, 0.8 is more like it. But do you understand how it works?

- anonymous

yes thanks

- anonymous

is this the right answer

- mathmate

|dw:1440511020660:dw|
If we're given that the plants are from this year, the sample space is 30, so 24/30=0.8.

- anonymous

can you help me with one more

- anonymous

What is the probability that a randomly selected is fiction given that it is paperback
write the anwser as a percent round to the nearest tenth if needed
https://static.k12.com/eli/bb/1762/6_80414/2_62272_10_80682/d7736541de5f96149de46a4fddf3ce06b4c0217f/media/04afc71de70f3a3f496a2276dcfec494b5a2f201/mediaasset_1495877_1.jpg

- anonymous

write the probability as a percent round to the nearest tenth if needed

- anonymous

hello

- mathmate

I'll leave that part to you! :)

- mathmate

Can you write 0.8 as a percentage and round to the nearest tenth if necessary?

- mathmate

ok, it's a new problem.
Here you do the same as before, out of all the paper backs, how many are fiction?

- mathmate

Also, for next time, make a new post so others have a chance to help you!

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