10. higher order thinking noah randomly selects one of his eight different pairs of shoes to wear each day…
10. higher order thinking noah randomly selects one of his eight different pairs of shoes to wear each day. of his eight pairs of shoes, noah has two pairs of boots and one pair of loafers. for how many days of the next 264 is it expected that noah will wear either boots or loafers?
Answer
Explanation:
Step1: Calculate the probability of wearing boots or loafers
The number of pairs of boots and loafers is $2 + 1=3$. The total number of pairs of shoes is 8. So the probability $P$ of wearing boots or loafers is $P=\frac{3}{8}$.
Step2: Calculate the expected number of days
The total number of days is 264. The expected number of days $E$ of wearing boots or loafers is $E = 264\times\frac{3}{8}$. $E=\frac{264\times3}{8}=\frac{792}{8}=99$.
Answer:
99