In: Advanced Math
Brady is a figure skater. He finds a few of the jumps he does to
be difficult, but the rest are easy for him. He must include four
jumps in his routine. He always makes the first jump a difficult
one. After a difficult jump, there is a 0.4 probability that he'll
do another difficult jump, and otherwise he'll do an easy one.
After an easy jump, there is a 0.2 probability that he'll do
another easy one, and otherwise he'll do a hard
one.
What is the probability that the final (fourth) jump of his routine
will be an easy one?
What is the probability that all four jumps of his routine will be
difficult ones?
Enter your answers as whole numbers or decimals.