Probability

Probability

Secondary 4

Each of three devices works with probability \(\frac45\). Their functioning is mutually independent.

  1. Find the probability that all three work.

  2. Find the probability that exactly two work.

  3. Find the probability that at least one works.

Show the different arrangements needed in part b.

Solution:

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Answer:(a) \(\frac{64}{125}\); (b) \(\frac{48}{125}\); (c) \(\frac{124}{125}\).

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