What is the probability that a total of two dice thrown will be higher than a 4 given that the first dice is a 1?

Question

 Remember to denote event A and event B, think about whether these will be dependent or independent? Use the corresponding formula in order to get to the answer.

Answer 1

if the first die has to be a 1 and the second die can be 1, 2, 3, 4, 5, or 6, then the sample space is

1+1=2

1+2=3

1+3=4

1+4=5

1+5=6

1+6=7

there are 6 sums and 3 are greater than 4 (5,6,and 7)

probability=3/6=1/2