two thirds of the students at school prefer beats headphones to all others.3/4 of those students prefer the wireless ones. 1/5 of those students prefer the pink ones. what proportion of students prefer the pink, wireless beats headphones?
2/3 * 3/4 * 1/5 = 1/10
To find the proportion of students who prefer the pink, wireless beats headphones, we need to multiply the three given fractions.
Given:
- Two-thirds of the students prefer beats headphones (2/3)
- Three-fourths of those students prefer the wireless ones (3/4)
- One-fifth of those students prefer the pink ones (1/5)
Let's proceed with the calculations:
First, find the proportion of students who prefer the wireless ones:
2/3 * 3/4 = 6/12 = 1/2
Then, find the proportion of students who prefer the pink, wireless ones:
1/2 * 1/5 = 1/10
Therefore, 1/10 of the students prefer the pink, wireless beats headphones.