43. The probability A getting a job is 1/5 and that of B is 1/7. What is the probability that only one
of them gets a job?
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Answer:
2/7 is the probability that only one of them get job
Step-by-step explanation:
Probability of getting a job = 1/5
Probability of a not getting job = 1 - 1/5 = 4/5
Probability of getting a job = 1/7
Probability of a not getting job = 1 - 1/7 = 6/7
probability that only one of them get a job
= a got Job & b does not get job + b get job a does not get
= (1/5)(6/7) + (1/7)(4/5)
= 6/35 + 4/35
= 10/35
= 2/7
Another Method
Probbaility = 1 - both get job - none get job
= 1 - (1/5)(1/7) - (4/5)(6/7)
= 1 - 1/35 - 24/35
= (35 - 1 - 24)/35
= 10/35
= 2/7
2/7 is the probability that only one of them get job
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