NCERT Exemplar Solutions
Class 10 - Mathematics - CHAPTER 13: Statistics and Probability - Exercise 13.1
Question 22

Question.  22

The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is

(A)

7

(B)

14

(C)

21

(D)

28

Detailed Answer with Explanation:

Step 1: We are told that the probability of getting a bad egg is 0.035. This means, out of 1 egg, on average, 0.035 eggs are expected to be bad.

Step 2: The total number of eggs in the lot is 400.

Step 3: To find the expected number of bad eggs, we multiply the probability by the total number of eggs:

\[ ext{Expected bad eggs} = ext{Probability} imes ext{Total eggs} \]

\[ = 0.035 imes 400 \]

Step 4: Do the multiplication: \(0.035 imes 400 = 14\).

Final Answer: The expected number of bad eggs is 14. So, the correct option is (B).

NCERT Exemplar Solutions Class 10 – Mathematics – CHAPTER 13: Statistics and Probability – Exercise 13.1 | Detailed Answers