NCERT Class X Chapter 14: Probability Example 12
NCERT Class X Chapter 14: Probability Example 12
Question:
A carton consists of 100 shirts of which 88 are good, 8 have minor defects and 4 have major defects. Jimmy, a trader, will only accept the shirts which are good, but Sujatha, another trader, will only reject the shirts which have major defects. One shirt is drawn at random from the carton. What is the probability that (i) it is acceptable to Jimmy? (ii) it is acceptable to Sujatha?
Given:
Total number of shirts = 100
Number of good shirts = 88
Number of shirts with minor defects = 8
Number of shirts with major defects = 4
To Find:
(i) Probability that the shirt is acceptable to Jimmy
(ii) Probability that the shirt is acceptable to Sujatha
Formula:
Probability = Number of favorable outcomes Total number of outcomes
Solution:
(i) Probability that the shirt is acceptable to Jimmy:
Number of shirts acceptable to Jimmy = Number of good shirts
⇒ Number of shirts acceptable to Jimmy = 88
Total number of shirts = 100
P(Shirt acceptable to Jimmy) =
88
100
= 0.88
(ii) Probability that the shirt is acceptable to Sujatha:
Number of shirts acceptable to Sujatha = Total shirts - Number of shirts with major defects
⇒ Number of shirts acceptable to Sujatha = 100 - 4
⇒ Number of shirts acceptable to Sujatha = 96
Total number of shirts = 100
P(Shirt acceptable to Sujatha) =
96
100
= 0.96
Result:
(i) The probability that the shirt is acceptable to Jimmy is 0.88
(ii) The probability that the shirt is acceptable to Sujatha is 0.96
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