Please assist with this question below:

[3] In dramatic scene at the end of a movie a dying actor on his knees reaches on the top of the table, grasping for the bottle with the antidote. He saw 8 pills through the glass. He needs at least 3 pills of the antidote to reverse the effects of the poison he ingested. But in his weakened state, he knocked over the bottle with the antidote and also a neighboring bottle containing identical, but useless, sugar pills. In all, 25 pills, 8 antidote and 1? sugar were hopelessly mixed. Complicating his plight still further, he knew that too much of the antidote could also be deadly; at most he could survive 5 antidote pills. So he made the decision to grab 5 pills at random from the 25 in hopes of getting at least 3 life-saving antidote pills. [a] What is the exact probability the dying actor survives? [b] What is the expected number of pills of the antidote the actor grasps from the randomly scattered 25 pills