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

Question

3 years ago

6

ree resulting pieces are longer than $1$ unit?

1 answer:

Zinaida [17] · Answer 1 · 2022-02-22T05:53:35+03:00

4 0

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.