# 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}

The doubt is from Probability topic in section Probability of Mathematics – Class 12
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Editor">Editor Staff answered 11 months ago

1
25

Easiest explanation: Probability of yellow =
1
5

Probability of choosing pink pair of gloves twice =
1
5
×
1
5
=
1
25