A bag contains two blue socks and two red socks. Two socks are randoml

Question

A bag contains two blue socks and two red socks. Two socks are randomly drawn out. What is the probability that that they are matching in color?

A. 1/2
B. 1/3
C. 1/4
D. 1/5
E. 1/6

svasan05 · Answer

P(2 socks of matching colour) = P(drawing 2 blue socks) + P(drawing 2 red socks)

= P(Blue in first draw)*P(Blue in second draw) + P(Red in first draw)*P(Red in second draw)

= (2/4)*(1/3) + (2/4)*(1/3)

=  (1/3)

Ans: B

GMATinsight · Answer

Total ways of choosing 2 out of 4 socks = 4C2 = 6

Favourable outcomes = both black or both red = 2

Favorable probability  = \frac{2}{6} = \frac{1}{3}

Answer: Option B

EgmatQuantExpert · Answer

Solution

Given  
In this question, we are given 
  A bag with two blue and two red socks
 Two socks are randomly drawn out

To find  
We need to determine
  The probability that these two have the same color

Approach and Working out

Probability(same color) = Prob(both blue or both red)
  Prob(both blue) = Prob(first blue, second blue) =  \frac{2}{4}  ×  \frac{1}{3}  =  \frac{1}{6} 
 Prob(both red) = Prob(first red, second red) =  \frac{2}{4}  ×  \frac{1}{3}  =  \frac{1}{6} 
  Prob(both blue or both red) =  \frac{1}{6}  +  \frac{1}{6}  =  \frac{2}{6}  =  \frac{1}{3}

Thus, option B is the correct answer.

Correct Answer: Option B

Pritishd · Answer

No matter easy or tough, probability questions are always fun to solve

1. We have 2 red and 2 blue socks and a total of 4 socks 2. What is the probability that that they are matching in color? - In other words, what is the probability of picking 2 red socks or 2 blue socks in a row 3. Probability of picking 2 blue socks is = \frac{2}{4} * \frac{1}{3} = \frac{1}{6} 4. OR Probability of picking 2 red socks is = \frac{2}{4} * \frac{1}{3} = \frac{1}{6} 5. Adding 3. and 4. we get, \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3} Ans. B

ScottTargetTestPrep · Answer

Solution:
 
P(matching color socks) = P(blue followed by blue) + P(red followed by red)

= 2/4 * 1/3 + 2/4 * 1/3

= 1/6 + 1/6 = 1/3

Answer: B

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A bag contains two blue socks and two red socks. Two socks are randoml

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A bag contains two blue socks and two red socks. Two socks are randoml

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