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11 grade maths others

The probability of getting a bad egg in a lot of 500 is 0.028, find the number of good eggs in the lot.

Profile image of Aniket Singh
11 Months agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
ApprovedApproved Tutor Answer11 Months ago

To determine the number of good eggs in a lot of 500 when the probability of getting a bad egg is 0.028, we can follow these steps:

Calculating the Number of Bad Eggs

First, we need to find out how many bad eggs are in the lot. We can do this by multiplying the total number of eggs by the probability of a bad egg:

  • Total eggs = 500
  • Probability of a bad egg = 0.028
  • Number of bad eggs = Total eggs × Probability of a bad egg

So, the calculation is:

Number of bad eggs = 500 × 0.028 = 14

Finding the Number of Good Eggs

Next, to find the number of good eggs, we subtract the number of bad eggs from the total number of eggs:

  • Total eggs = 500
  • Bad eggs = 14
  • Good eggs = Total eggs - Bad eggs

The calculation for good eggs is:

Good eggs = 500 - 14 = 486

Final Result

In this lot of 500 eggs, there are 486 good eggs.