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The probability that the student loses his earbuds in cherry st. in the path of home to school is 0.2857 or 28.57%.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

The path of the student from the home to school consists of:

  • 0.2 miles of cherry st.
  • 0.4 miles of park st.
  • 0.1 miles of pine st.

Total distance of the path of student from the home to school  is,

d=0.2+0.4+0.1

d=0.7 miles

Now, the distance of cherry st. is 0.2 miles. Thus, the probability that he loses his earbuds in this st. is,

P=(0.2)/(0.7)

P=0.2857

P=28.57 %

Thus, the probability that the student loses his earbuds in cherry st. in the path of home to school is 0.2857 or 28.57%.

Learn more about the probability here;

https://brainly.com/question/24756209

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