# CAT2014-35

130 views

A box contains $6$ red balls, $7$ green balls and $5$ blue balls. Each ball is of a different size. The probability that the red ball selected is the smallest red ball, is

1. $1/18$
2. $1/3$
3. $1/6$
4. $2/3$

1 vote

Total number of balls in box $=6$ red balls $+ 7$ green balls $+ 5$ blue balls $=18$ balls

Probability of selecting red ball $=\frac{6}{18}$

The probability of selecting the smallest red ball (it is given that each ball is of different size) $=\frac{6}{18} \times \frac{1}{6}$

So probability that the red ball selected is the smallest red ball $= \dfrac{\text{Probability of red ball being selected AND the selected red ball being the smallest}}{\text{Probability of red ball being selected}}$

$\qquad \qquad = \dfrac{\frac{6}{18}\times \frac{1}{6}}{\frac{6}{18}}=\frac{1}{6}$

Option $(C)$ is correct.
3.7k points 5 10 66
selected by

## Related questions

1
165 views
It is the powerful compound capsaicin that makes a chili pepper hot; a single drop that has no taste and odor is capable of detection by humans at one part per million. A single drop that has no taste and odor is capable of detection A single ... , though without taste and odor A single tasteless and odorless drop can be detected Single tasteless and odorless drops are capable of detection
1 vote
2
428 views
Answer the questions based on following data. A dealer deals only in colour TVs and VCRs. He wants to spend up to $Rs.12$ lakhs to buy $100$ pieces. He can purchase a colour TV at $Rs.10,000$ and a VCR at $Rs.15,000$. He can sell a colour TV at $Rs.12,000$ ... from his original stock if he can sell a colour TV at $Rs.12200$ and VCR at $Rs.18300$ is $2.64$ $2.49$ $2.72$ $2.87$
1 vote
Answer the questions based on following data. A dealer deals only in colour TVs and VCRs. He wants to spend up to $Rs.12$ lakhs to buy $100$ pieces. He can purchase a colour TV at $Rs.10,000$ and a VCR at $Rs.15,000$. He can sell a colour TV at $Rs.12,000$ and a ... then for maximizing profit, the ratio of number of VCRs and number of TVs that he should stock is $7 : 3$ $0$ $1 : 2$ None of these