A batch of 50 transistors contains 3 defective ones. Two transistors are selected at random from the batch and put into a radio set. What is the probability that only one is defective?
Answers
Given : A batch of 50 transistors contains 3 defective ones. Two transistors are selected at random from the batch and put into a radio set.
To Find : What is the probability that only one is defective
Solution:
A batch of 50 transistors contains 3 defective ones.
=> Total = 50
Defective = 3
Non defective = 50 -3 = 47
2 transistors from 50 can be selected in ⁵⁰C₂ ways
= 1225
Selecting one defective & one non defective
= ⁴⁷C₁³C₁
= 141
probability that only one is defective = 141 / 1225
= 0.115
probability that only one is defective = 141 / 1225 = 0.115
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