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} $