danny likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. his collection of…

danny likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. his collection of oars is organized by decade and type of wood.\n\n| | spruce wood | ash wood |\n| :--- | :---: | :---: |\n| 2010s | 5 | 4 |\n| 2020s | 4 | 3 |\n\nwhat is the probability that a randomly selected oar was purchased in the 2010s given that the oar was made from ash wood?\n\nsimplify any fractions.

danny likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. his collection of oars is organized by decade and type of wood.\n\n| | spruce wood | ash wood |\n| :--- | :---: | :---: |\n| 2010s | 5 | 4 |\n| 2020s | 4 | 3 |\n\nwhat is the probability that a randomly selected oar was purchased in the 2010s given that the oar was made from ash wood?\n\nsimplify any fractions.

Answer

Explanation:

Step1: Identify the total number of ash wood oars

$$N(\text{Ash}) = 4 + 3 = 7$$

Step2: Identify ash wood oars purchased in the 2010s

$$N(\text{2010s and Ash}) = 4$$

Step3: Calculate the conditional probability

$$P(\text{2010s} \mid \text{Ash}) = \frac{N(\text{2010s and Ash})}{N(\text{Ash})} = \frac{4}{7}$$

Answer:

$\frac{4}{7}$