question attached

Remember Marcus? He's a Penn State student who has an 8 a.m. class. There is a 58 percent chance that Marcus will remember to set an alarm before he goes to bed the previous evening. If he does not set an alarm, there is a 14 percent chance that he will wake up and go to class anyway. If he does set an alarm, Marcus wakes when the alarm goes off and tosses two fair coins. If they both land heads, he goes back to bed; otherwise he goes to class. Suppose that, on Monday morning, we observe Marcus heading to his 8 a.m. class. What is the probability that his alarm went off this morning? State your answer to two decimal places. For example if you calculate that the probability is 0.304 (or 30.4%) you would enter 0.30