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The probability that an egg will break when kept in the store is 5 out of every 200. How many broken eggs do you expect from a crate containing 600 eggs?

Mathematics

ScanSolve AI Answer

Answer

15

Step-by-step solution

4 steps

The probability that an egg will break is given as 5 out of every 200.

  1. Calculate the probability of an egg breaking.

    P(broken egg)=Number of broken eggsTotal number of eggs=5200P(\text{broken egg}) = \frac{\text{Number of broken eggs}}{\text{Total number of eggs}} = \frac{5}{200}
  2. Simplify the probability.

    P(broken egg)=5÷5200÷5=140P(\text{broken egg}) = \frac{5 \div 5}{200 \div 5} = \frac{1}{40}
  3. Calculate the expected number of broken eggs in a crate containing 600 eggs.

    Expected number of broken eggs = P(broken egg)×Total number of eggsP(\text{broken egg}) \times \text{Total number of eggs}
    Expected number of broken eggs = 140×600\frac{1}{40} \times 600

  4. Perform the multiplication.

    Expected number of broken eggs = 60040=604=15\frac{600}{40} = \frac{60}{4} = 15

    You can expect 15\boxed{15} broken eggs from a crate containing 600 eggs.

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