A dice game Your teacher has invented another fair dice game to play. Heres how it works. Your teacher will roll one fair eight-sided die, and you will roll a fair sixsided die. Each player rolls once, and the winner is the person with a higher number. In case of a tie, neither player wins. (a) Diagram the sample space illustrating the possible outcomes on a single turn. (b) Let A be the event your teacher wins the fi rst turn of the game. Find P(A). (c) Let B be the event you get a 3 on your fi rst roll. Find P(A < B). (d) Are events A and B independent? Justify your answer.
BIOL Notes Test 1 Homeostasis o “to stand still” o Physiology How our body parts work o Our bodies operate constantly to maintain set levels o We perceive change outside and within ourselves and are able to respond accordingly to adjust to those changes o When the stimulus is no longer present, we are able to go back to “normal” o EX If we perceive danger, we are able to increase our heart rate and move our muscles When we are no longer in danger, we are able to lower our heart rate and stop moving our muscles o EX Fever is a movement away from “normal” We respond to it