Probability without Replacement (Dependent Events)
A college sur...
Question
A college survey found that 6 out of 24 students walk to college. If 3 students are selected at random without replacement, what is the probability that all 3 walk to college?
A
P(E)=23506
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B
P(E)=5506
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C
P(E)=1506
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D
P(E)=1605
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Solution
The correct option is BP(E)=5506 Given,
Total number of students surveyed =24
Number of student walk to college =6
Probability of choosing first student who walk to college is P(A)=624=14
Probability of choosing second student who walk to college is P(B)=523
Probability of choosing third student who walk to college is P(C)=422=211
Now, we have to find probablity of choosing 3 students at random that walk to college. ⇒P(A,B and C)=P(E)=P(A)×P(B)×P(C)