Many gambling games use dice in which the number of dots rolledis equally likely to be 1, 2, 3, 4, 5, or 6. For instance, craps isa game in which two dice are rolled and the sum of the dots on thetwo dice determines whether the gambler wins, loses, or continuesrolling the dice. Let X = sum of two fair dice.The table shows the sample space for the two dots and thecorresponding values of the random variable X. Usethe distribution to find the probability P thatthe sum is 7.
P =

Dots	X		Dots	X		Dots	X		Dots	X		Dots	X		Dots	X
1,1	2		2,1	3		3,1	4		4,1	5		5,1	6		6,1	7
1,2	3		2,2	4		3,2	5		4,2	6		5,2	7		6,2	8
1,3	4		2,3	5		3,3	6		4,3	7		5,3	8		6,3	9
1,4	5		2,4	6		3,4	7		4,4	8		5,4	9		6,4	10
1,5	6		2,5	7		3,5	8		4,5	9		5,5	10		6,5	11
1,6	7		2,6	8		3,6	9		4,6	10		5,6	11		6,6	12

Answer rating: 100% (QA)

If two dice are rolled and the values are summed we get the following probability distrib... View the full answer