M4maths Previous Puzzles

05 Jan 2011 Same birthday in leap year

What would be the probability o having the same birthday of two newly born child in a leap year

OPtion

1) 1/365
2) 1/366
3) 1/12
4) 4/365
5) 2/365
6) 1/122
7) 4/324
8) 24/364
9) 0
10 1

Solution

For the first child probability will be 1
and for the second child it would be 1/365
1*1/136
=1/366

Correct Option: 2 Best Solution (11)

KALPANA G   13 years AGO

The first child can have any birthday. That gives him 366 possible birthdays out of 366 days, so the probability of the first child=366/366.

And the probability of second child has the same birthday is 1/366.
Therefore, the probability of having the same birthday of two newly born child in a leap year = (366/366)*(1/366)=1/366

Like? Yes (10) | No   

madhuri   13 years AGO

(366/366)*(1/366)=1/366

Like? Yes (4) | No   

SUDESHNA SEN   13 years AGO

Required probability= {1-(366/366)*(365/366)}
={1-(365/366)}= (1/366)..... Option 2)

Like? Yes (3) | No   

Naveen   13 years AGO

the first child can take any day in year. and for the second child it would be 1/336
so total porb will be
1*1/366

Like? Yes (3) | No   

SUBHAJIT GUHA   13 years AGO

Because there are only 1 day extra in leap year so if both the child born in 29th day then they have the same birthday in leap year so probability is equal to 1/366

Like? Yes (1) | No   

Abhishek Mukherjee   13 years AGO

Required probability= {1-(366/366)*(365/366)}
={1-(365/366)}= (1/366)..... Option 2)

Like? Yes (1) | No   

aparna   13 years AGO

Required probability= {1-(366/366)*(365/366)}
={1-(365/366)}= (1/366)..... Option 2)

Like? Yes (1) | No   

sanjib biswas   13 years AGO

Required probability= {1-(366/366)*(365/366)}
={1-(365/366)}= (1/366)..... Option 2)

Like? Yes (1) | No   

kamal   13 years AGO

Required probability= {1-(366/366)*(365/366)}
={1-(365/366)}= (1/366)..... Option 2)

Like? Yes (1) | No   

Prabir Sen   13 years AGO

Required probability= {1-(366/366)*(365/366)}
={1-(365/366)}= (1/366)..... Option 2)

Like? Yes (1) | No   

PADMASHREE   13 years AGO

1/366

Like? Yes (1) | No