Thank you for visiting At a garden center Natasha wants to choose 6 trees to plant in her new garden The trees for sale consist of 18 dogwood 10. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The probability that a random group of 6 trees only contains weeping cherry is computed by dividing the number of ways to pick 6 weeping cherry trees (20[tex]C_{6}[/tex]) by the total possible ways to pick any 6 trees from the total 48 trees available (48[tex]C_{6}[/tex]).
The total number of trees in the garden center is 48 (18 dogwood + 10 magnolia + 20 weeping cherry).
Natasha wants to select a group of 6 trees, and we want to find the probability that all 6 trees are weeping cherry.
This could be calculated by dividing the number of ways to pick 6 weeping cherry trees (which is 20 choose 6, represented as 20[tex]C_{6}[/tex]) by the total number of ways to pick any 6 trees out of the 48 (which is 48 choose 6, represented as 48[tex]C_{6}[/tex]).
Therefore, the probability would be 20[tex]C_{6}[/tex]/48[tex]C_{6}[/tex]. Please note you will need to calculate these combinations to get the final probability value.
Learn more about Probability here:
https://brainly.com/question/32117953
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