Three cellphones are chosen from 5 cellphones of which 3 are good ones and 2 are defective. Enumerate the elements of the:
A) sample space. Denote the good ones with "G" and defective ones "D"
B) what is the probability of getting 2 good ones and
C) the probability of getting 2 defective ones?
Answers
Given : Three cellphones are chosen from 5 cellphones of which 3 are good ones and 2 are defective.
To Find :
A) sample space. Denote the good ones with "G" and defective ones "D"
B) what is the probability of getting 2 good ones and
C) the probability of getting 2 defective ones?
Solution:
sample space = { G₁ , G₂ , G₃ , D₁ , D₂ }
probability of getting 2 good ones = ³C₂/⁵C₂
2 good ones out of 3 can be selected in ³C₂ ways
2 out of 5 can be selected in ⁵C₂ ways
= 3/ 10
= 0.3
probability of getting 2 defective ones = ²C₂/⁵C₂
2 defective ones out of 2 can be selected in ²C₂ ways
2 out of 5 can be selected in ⁵C₂ ways
=2/ 10
= 0.2
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