Question

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

Answer 1

Correct answer is (b) \(\frac {1}{25}\)

Easiest explanation: Probability of yellow = \(\frac {1}{5}\)

Probability of choosing pink pair of gloves twice = \(\frac {1}{5} \times \frac {1}{5} = \frac {1}{25}\)