A box contains a pair of socks in colours blue, red, yellow, green and pink. You reach into the box and choose a pair of socks without looking. You replace this pair and then choose another pair of socks. What is the probability that you will choose the yellow pair of socks both times?

Category: QuestionsA box contains a pair of socks in colours blue, red, yellow, green and pink. You reach into the box and choose a pair of socks without looking. You replace this pair and then choose another pair of socks. What is the probability that you will choose the yellow pair of socks both times?
Editor">Editor Staff asked 11 months ago

A box contains a pair of socks in colours blue, red, yellow, green and pink. You reach into the box and choose a pair of socks without looking. You replace this pair and then choose another pair of socks. What is the probability that you will choose the yellow pair of socks both times?
 
(a) \frac {8}{11}
 
 
(b) \frac {1}{25}
 
 
(c) \frac {4}{11}
 
 
(d) \frac {7}{4}
 
 
I had been asked this question in class test.
 
The doubt is from Probability topic in section Probability of Mathematics – Class 12
NCERT Solutions for Subject Clas 12 Math Select the correct answer from above options 
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1 Answers
Editor">Editor Staff answered 11 months ago

Correct answer is (b)
1
25
 
 
Easiest explanation: Probability of yellow =
1
5
 
 
Probability of choosing pink pair of gloves twice =
1
5
×
1
5
=
1
25