SATHEE: Quantitative Aptitude Ques 558

Quantitative Aptitude Ques 558

Question: A bag contains 5 red balls, 6 yellow balls and 3 green balls. If two balls are picked at random, what is the probability that either both are red or both are green in colour? [SBI (PO) 2016]

Options:

A) $ \frac{3}{7} $

B) $ \frac{5}{14} $

C) $ \frac{1}{7} $

D) $ \frac{2}{7} $

E) $ \frac{3}{14} $

Show Answer

Answer:

Correct Answer: C

Solution:

Probability of 2 red balls $ =\frac{{}^{5}C _2}{{}^{14}C _2} $ Probability of 2 green balls $ =\frac{{}^{3}C _2}{{}^{14}C _2} $

$ \therefore $ Required probability $ =\frac{{}^{5}C _2}{{}^{14}C _2}+\frac{{}^{3}C _2}{{}^{14}C _2} $ $ =\frac{\frac{5\times 4}{1\times 2}}{\frac{14\times 13}{1\times 2}}+\frac{\frac{3,\times 2}{1\times 2}}{\frac{14\times 13}{1\times 2}} $ $ =\frac{20+6}{14\times 13}=\frac{2}{14}=\frac{1}{7} $

Quantitative Aptitude Ques 557

Quantitative Aptitude Ques 559

Quantitative Aptitude Ques 558

Question: A bag contains 5 red balls, 6 yellow balls and 3 green balls. If two balls are picked at random, what is the probability that either both are red or both are green in colour? [SBI (PO) 2016]

Options:

Answer:

Solution:

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