nick likes to go on canoe trips, and on each trip he purchases oars to keep as souvenirs. his collection of…
nick 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| |spruce wood|ash wood|\n|----|----|----|\n|2010s|6|9|\n|2020s|2|2|\nwhat is the probability that a randomly selected oar was made from ash wood given that the oar was purchased in the 2020s?\nsimplify any fractions.
Answer
Explanation:
Step1: Find total oars in 2020s
Add the number of spruce - wood and ash - wood oars in 2020s. $2 + 2=4$.
Step2: Find number of ash - wood oars in 2020s
The number of ash - wood oars in 2020s is 2.
Step3: Calculate conditional probability
The formula for conditional probability $P(A|B)=\frac{P(A\cap B)}{P(B)}$. In this case, the probability that an oar is made of ash wood given it was purchased in 2020s is the number of ash - wood oars in 2020s divided by the total number of oars in 2020s. So the probability is $\frac{2}{4}=\frac{1}{2}$.
Answer:
$\frac{1}{2}$