A stick has a length of $5$ units. The stick is then broken at two points, chosen at random. What is the probability that all th
ree resulting pieces are longer than $1$ unit?
1 answer:
Answer:
4/25 = 0.16
Step-by-step explanation:
The shortest stick must be between 0 and 5/3. The probability that it is longer than 1 is therefore:
(5/3 − 1) / (5/3 − 0)
(2/3) / (5/3)
2/5
So the probability that both of the shortest sticks are longer than 1 is (2/5)² = 4/25.
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