Probability with dices

This topic has expert replies
Junior | Next Rank: 30 Posts
Posts: 16
Joined: Fri Sep 03, 2010 12:04 pm

Probability with dices

by Cedagmat » Fri Nov 26, 2010 7:30 pm
37. Tossing two dices at random, what is the probability that the sum of numbers upside is greater than 9?
(A)2/9 (B) 7/36 (C) 5/36 (D) 1/6 (E) 1/9

[spoiler]OA: D[/spoiler]
This problem look pretty straightforward at first. These are the possibilities for dices: 1,2,3,4,5,6. The only dices faces that will sum to a number greater than 9 are 5 and 6. I thought since there is 2/6 ways of getting 5 or 6 on one die, then (1/3)*(1/3)=1/9 would be my probably of getting a number greater than 9. However, this is incorrect. Can someone explain?
Source: — Problem Solving |

Master | Next Rank: 500 Posts
Posts: 437
Joined: Sat Nov 22, 2008 5:06 am
Location: India
Thanked: 50 times
Followed by:1 members
GMAT Score:580

by beat_gmat_09 » Fri Nov 26, 2010 7:40 pm
Didn't you forget (5,5), (6,6),(6,4),(4,6)
no of 5,6 - 2
no of 6,6 -1
no of 6,4 - 2
no of 5,5 - 1
Total - 6
possible outcomes - 6*6=36
Probability = 6/36 = 1/6
Hope is the dream of a man awake