Thread: Wheel Question

Hi, Please help me solve this question. I have no idea where to begin, other than knowing that A must be larger than one, because the question asks, 'what is the probability that the fraction is greater than 1.

The question is attached as an image below.

(0+1+2+3+4+5) / 36 = 15/36 = 5/9

0: 1/1, 1/2, 1/3, 1/4, 1/5, 1/6
....
5: 6/1, 6/2, 6/3, 6/4, 6/5, 6/6

Originally Posted by gs.sh11

Hi, Please help me solve this question. I have no idea where to begin, other than knowing that A must be larger than one, because the question asks, 'what is the probability that the fraction is greater than 1.

The question is attached as an image below.

if and only if .

From the picture, all values of a from 1 to 6, are equally likely, and the same for b. So all 36 ordered pairs (a,b) are equally likely. List the pairs and count the ones where a > b.

A little more quickly that listing them all: of the 36 pairs, exactly 6 of them are pairs of equal numbers. Of the remaining 30, exactly half, 15 have a> b and the other half have b>a. The probability that, on a single roll, a> b is 15/36= 5/9.