Quantitative Aptitude Ques 165

Question: There are 5 red balls, 4 yellow balls and 3 green balls in a basket. If 3 balls are drawn at random, what is the probability that at least 2 of them are green in colour? [IBPS (SO) 2014]

Options:

A) 1/11

B) 13/55

C) 3/11

D) 11/55

E) 7/55

Show Answer

Answer:

Correct Answer: E

Solution:

  • Here, total balls in the bag = 5 red + 4 yellow + 3 green = 12 balls Now, 3 balls chosen at random in which two bate are green in colour. Selecting 3 balls $ ={}^{9}C _1\times {}^{3}C _2+{}^{3}C _3 $ Sample space $ ={}^{12}C _3 $ P (getting at least 2 green balls) $ =\frac{{}^{9}C _1\times {}^{3}C _2+{}^{3}C _3}{{}^{12}C _3}=\frac{9\times 3+1}{220}=\frac{28}{220}=\frac{7}{55} $