Home » Ask & Discuss » Mathematics. » Algebra « Back to Discussion

Algebra

New kid on the Block

Joined:	1 Feb 2012
Post:	4

3 Feb 2012 18:20:16 IST

0 People liked this

285

if six fair dice are rolled what is probability that each of the six numbers will appear e

Mathematics

Probability problem

Share this article on:

Comments (4)

vishal v

New kid on the Block

Joined: 22 Dec 2011

Posts: 20

3 Feb 2012 18:51:58 IST

Like 0 people liked this

total outcome = 6⁶

favourable = (1*2*3*4*5*6)*6!

p=(5!)²/6⁴

ashish

New kid on the Block

Joined: 1 Feb 2012

Posts: 4

3 Feb 2012 21:24:20 IST

Like 0 people liked this

it should be 6!/(6^6) which is equals to 0.0154.

Arjun Virmani

Forum Expert

Joined: 1 Jun 2009

Posts: 1294

3 Feb 2012 22:49:08 IST

Like 0 people liked this

lets say 1 occurs on all...

so P(1) = 1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6 (for all six die)

and this can happen 6 times for {1,2,3,4,5,6} so (1/6 * 1/6 * 1/6 * 1/6 * 1/6 * 1/6) * 6.............ans!!

i.e. 1 / 6⁵ ans!!

Vishal U. Karve

Hot goIITian

Joined: 18 Jan 2012

Posts: 147

4 Feb 2012 18:55:46 IST

Like 0 people liked this

Let us use classical definition of probability to keep it simple.

n(E) = 6! because (1,2,3,4,5,6) can be arranged in 6! ways.

n(S) = 6^6 because total no. of outcomes is 6^6.

So,

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team

Free Sign Up!

Preparing for IIT-JEE ?

Arihant Revision Package for IIT JEE - Books, Practice Tests + Rank Predictor

@ INR 1,995/-

For Quick Info

Find Posts by Topics

Physics.

Topics

9390

20087

3671

2185

7614

2826

2636

Mathematics.

Chemistry.

Biology

Institutes

Parents

Board

Fun Zone