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An unbiased dice which has the first six consecutive odd numbers labelled on its faces, is thrown twice. Find the probability that the sum is even.

Image credit: Wikipedia Roger McLassus
1/36 0 1 1/2

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9 solutions

Manish Mayank
May 22, 2014

sum of any two odds is even everytime

You got me on the sum part.

Kevin Mo - 6 years, 10 months ago

This is true...

Heder Oliveira Dias - 7 years ago

easy one........!

PUSHPESH KUMAR - 7 years ago

very very simle one

aravind chiguru - 7 years ago

easy...............

Vikas Sharma - 7 years ago

I clicked the right choice but then it says I was wrong....??????

Limalima Camille - 6 years, 12 months ago

ANSWER IS 1/2

Kbrk Prasad - 7 years ago
Qian Yu Hang
Feb 18, 2015

any odd no. plus any other odd no. equals an even no.

Vinit Béléy
Sep 27, 2014

The numbers on the dice are 1, 3, 5, 7, 9, 11, which are the first 6 consecutive numbers. Since sum of two odd numbers is always even, for two throws, the sum of outcomes will always be even and so the probability is 1.

Prathab Murugan
Jul 3, 2014

Sum of two odd numbers is always an Even number, the dice contains only odd numbers so the sum is always even

Sree Vidya
Jun 29, 2014

represent an odd number as 2n+1 (2n+1)+(2n+1)=4n+2 which is always even

Ryan Wong Jun Hui
Jun 16, 2014

The sum of 2 odd numbers will always be equal to 1. Since each surface of the dice has an odd number, the sum of any 2 faces would be 1. Therefore the probability that the sum is even would be 1.

Chirag Bodana
Jun 6, 2014

the ans is 1/2

represent an odd number as 2n+1 (2n+1)+(2n+1)=4n+2 which is always even thus,probability is 1

sree vidya - 6 years, 11 months ago

the answer is 1

Anuj Shikarkhane - 6 years, 12 months ago
Sanskari Munda
Jun 4, 2014

every number will be odd, nad sum two odds is always an even number. Therefore 1

The sum of even is always even and sum of odds is also even we have 3 odd and 3 even on one dice. But we have two dices => we have 6 even and 6 odd numbers.

Thus P(e) = 12/12 = 1.

i hope the answer is 1/2 as when we throw twice there will be chance for 36 outcomes... am i correct??? for eg if in one dice 1 and the other 2 the sum is 3 and is odd na??

deleena thomas - 7 years ago

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Nope there are only odd nos. Marked on the dice so the sum of2odd no. Is even hence answer is 1....

rishabh singhal - 7 years ago

i took the dice as a normal dice.. didn't read the qn carefully.... OOps

vijay gupta - 6 years, 11 months ago

Oops, looks like I fell for the same thing as you Vijay. Lol

Kevin Mano - 6 years, 11 months ago

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