bag one contain 4 defective and 16 not defective mobile phones bag 2 contains 1 defective and 1 non defective mobile phones quality control manager tosses a coin and selects a mobile phone from bag 1 if it comes up head otherwise he selects a mobile from bag 2 what will be the probability that the selected phone is defective
Answers
Given : bag one contain 4 defective and 16 not defective mobile phones
bag 2 contains 1 defective and 1 non defective mobile phones
quality control manager tosses a coin and
selects a mobile phone from bag 1 if it comes up head
otherwise he selects a mobile from bag 2
To Find : probability that the selected phone is defective
Solution:
Probability of Head = 1/2
Probability of other wise = 1 - 1/2 = 1/2
selects a mobile phone from bag 1 if it comes up head
bag 1 contain 4 defective and 16 not defective mobile phones
Total phone = 4 + 16 = 20
Probability of defective from bag 1 = 4/20 = 1/5
Over all probability of defective from bag 1 = (1/2)(1/5)
= 1/10
selects a mobile phone from bag 2 if it does not comes up head
bag 2 contain 1 defective and 1 not defective mobile phones
Total Phones = 1 + 1 = 2
Probability of defective from bag 2 = 1/2
Over all probability of defective from bag 2 = (1/2)(1/2)
= 1/4
probability that the selected phone is defective = 1/10 + 1/4
= ( 2 + 5)/20
= 7/20
7/20 will be the probability that the selected phone is defective
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