You have a 4-sidcd die with colors red, blue, yellow, and green for each face. You will roll the die 10 times. Let X be the number of rolls on which blue is the color selected.
a. What is the probability blue is selected exactly 3 times?
b. What is the probability blue is selected at most 3 times?
c. Given that blue is selected at most 3 times, what is the probability blue is .selected at least 1 time?
d. Given that blue is selected at least 1 time, what is the probability blue is selected at most 3 times?