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Manoj Meena

· started a discussion

· 1 Months ago

WHY ARE ASKING QUESTIONS FROM PROBABIITY ???????????????? (Question: 97609.0 )

OUT OF SYLLABUS 3

Question:
There are 9 pairs of white shoes and 6 pairs of black shoes contained in a box. We are allowed to draw only one shoe at a time. Minimum how many shoes are required to be drawn out to get one pair of white shoes?
Options:
A) 11
B) 22
C) 33
D) 15
Solution:

Ans: (b) Number of white shoes = 9 pairs

⇒ 9 left and 9 right shoes

Number of black shoes = 6 pairs

⇒ 6 left and 6 right

In such questions we always consider the worst situation.

Therefore we assume that initially we get 6 + 6 = 12 black shoes and 9 white shoes either left or right.

Thus we have taken out 12+ 9 = 21 shoes still we don’t have required pair of white shoes.

Now we drawout just one white shoe which will fulfill our requirement of getting one pair of white shoes.

[ One pair of white shoes means 1 left shoe and 1 right shoe.]

Thus we have to draw out 12 + 9 + 1 = 22 shoes to get correct pair of white shoes.

Sohil Rajput

· commented

· 1 Months ago

BAWLA

Sohil Rajput

· commented

· 1 Months ago

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