anonymous
  • anonymous
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.
Mathematics
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anonymous
  • anonymous
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.
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
mathmate
  • 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
  • anonymous
THanks for doing the step by step

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mathmate
  • 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
  • anonymous
8000?
anonymous
  • anonymous
anonymous
  • anonymous
or 0.8
mathmate
  • 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
  • mathmate
Yes, 0.8 is more like it. But do you understand how it works?
anonymous
  • anonymous
yes thanks
anonymous
  • anonymous
is this the right answer
mathmate
  • 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
  • anonymous
can you help me with one more
anonymous
  • 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
  • anonymous
write the probability as a percent round to the nearest tenth if needed
anonymous
  • anonymous
hello
mathmate
  • mathmate
I'll leave that part to you! :)
mathmate
  • mathmate
Can you write 0.8 as a percentage and round to the nearest tenth if necessary?
mathmate
  • 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
  • mathmate
Also, for next time, make a new post so others have a chance to help you!

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