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Engineering Mathematics

Conditional Probability

There are 3 r...

Question

There are 3 red socks, 4 green socks and 3 blue socks, you choose 2 socks. The probability that they are of the same colour is

A

1/5

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B

7/30

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C

1/4

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D

4/15

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Solution

The correct option is D 4/15
Req. Probability $= \frac{^{3} C_{2} +^{4} C_{2} +^{3} C_{2}}{^{10} C_{2}} = \frac{4}{15}$

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Similar questions

5 r e d

3 b l u e

2 g r e e n

socks. If a sock is drawn at random, what is the probability that the sock is:

$P (R e d) = \frac{1}{2}$
$P (B l u e) = \frac{1}{10}$
$P (G r e e n) = \frac{1}{5}$
$P (R e d) = \frac{1}{2}$
$P (B l u e) = \frac{1}{5}$
$P (G r e e n) = \frac{1}{10}$
$P (R e d) = \frac{1}{2}$
$P (B l u e) = \frac{3}{10}$
$P (G r e e n) = \frac{1}{5}$

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Q. There are 100 red, 80 green, 60 blue and 40 black socks in a box. If a person cannot see which colour he picks and places outside, what is the least number of socks to be taken out to ensure 10 pairs of socks?

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Q. Reddy has two pairs of black shoes and three pairs of brown shoes. He also has three pairs of red socks, four pairs of brown socks and six pairs of black socks. If Reddy chooses a pair of shoes at random and a pair of socks at random, Using Tree Diagram find the probability that he chooses shoes and socks of the same colour?

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