M4maths Previous Puzzles

01 Nov 2011 shoes probability?

There are 7 pair of shoes. The color of all the pairs are different. There is dark in the room. What will be the probability to get a complete pair. Left and right leg shoes can be differentiated.

OPtion

1) 1/13
2) 1/14
3) 2/13
4) 13/14
5) 2/3
6) 11/7
7) 1/7
8) 1/6
9) 2/7
10) none of these

Solution

1 shoes can be pick randomly
So probability to choosing the 2nd shoes is 1*1/7 because Left and right leg shoes can be differentiated.

Correct Option: 7 Best Solution (5)

A.P.Singh   13 years AGO

First shoe can be of any colour and for any foot.

the probability of getting second shoe of same colour and corresponding other foot is one out of seven.

so probability is 1/7.

Like? Yes (4) | No   

UMESH SINGLA   13 years AGO

Consider selecting left shoe in the first place...any shoe is selected, irrespective of it's colour.
so it's probability=1,

Now since left and right shoe can be differentiated in the dark, hence we need to select right shoe of the same colour out of 7 shoes only
hence probabilty=1/7,since only 1 is correct.
total probability=1*1/7
ans=1/7

Like? Yes (4) | No (2)  

SHWETA KUMARI   13 years AGO

because at a time 1 pair & total pair of shoes is 7
so 1/7

Like? Yes (2) | No (1)  

Debashis Dey   13 years AGO

probability of choosing a random pair = 6/7.
probability of getting a random pair = 1-6/7=1/7

Like? Yes (3) | No (3)  

Karan Kosta   13 years AGO

for second shoe the prob is 1/7 bcos 7shoes are left of same leg shoe after first shoe take....

Like? Yes (1) | No (1)