Two dies are rolled. Find the probability of the event below. a) Getting less than 4 on the first die and only 5 on the second die. Write the answer as a percent rounded to two decimal places. Event $A=$ first roll more than or equal to 4 is Event $B=$ second roll less than or equal to 5 in Show work using fraction(s) Write the answer as a decimal rounded to six decimal places Write the answer as a percent rounded to two decimal places b) Is this compound event dependent or independent? Please explain. Dependent because the first roll does affect the second roll.

Step 1 ：The problem is asking for the probability of two events happening together: rolling less than 4 on the first die and rolling exactly 5 on the second die.

Step 2 ：The first event has a probability of \(\frac{3}{6}\) (or \(\frac{1}{2}\)) because there are 3 outcomes (1, 2, 3) that are less than 4 out of 6 possible outcomes.

Step 3 ：The second event has a probability of \(\frac{1}{6}\) because there is only one outcome (5) out of 6 possible outcomes.

Step 4 ：Since these two events are independent (the outcome of the first roll does not affect the outcome of the second roll), the probability of both events happening is the product of their individual probabilities.

Step 5 ：\(prob_{event1} = 0.5\)

Step 6 ：\(prob_{event2} = 0.16666666666666666\)

Step 7 ：\(prob_{both} = 0.08333333333333333\)

Step 8 ：\(prob_{percent} = 8.33\)

Step 9 ：Final Answer: The probability of getting less than 4 on the first die and only 5 on the second die is approximately 0.083333 or \(\boxed{8.33\%}\).