MATH SOLVE

4 months ago

Q:
# Marti rolls two dice what is the probability that the sum of the dice is 7 given that the first die is 2

Accepted Solution

A:

Answer:The probability such that the sum of the dice is 7 given that the first die is 2 is:1/36Step-by-step explanation:The sample space that is obtained by rolling two die is given as:(1,1) (2,1) (3,1) (4,1) (5,1) (6,1)(1,2) (2,2) (3,2) (4,2) (5,2) (6,2)(1,3) (2,3) (3,3) (4,3) (5,3) (6,3)(1,4) (2,4) (3,4) (4,4) (5,4) (6,4)(1,5) (2,5) (3,5) (4,5) (5,5) (6,5)(1,6) (2,6) (3,6) (4,6) (5,6) (6,6)The outcomes such that the the sum of the dice is 7 given that the first die is 2 is:(2,5)Total outcomes=36.Number of favorable outcomes=1.Hence, the probability is defined as:Probability= Number of Favorable outcomes/Total number of outcomesHence, Probability=1/36