Math 128 Homework 15 Homework #15 Please show all work. 1. this experiment: I ha
ID: 3121208 • Letter: M
Question
Math 128 Homework 15 Homework #15 Please show all work. 1. this experiment: I have 20-sided die where each face has a mumber 1 through I roll the die one time and record the number that comes up 20. on the top face. (a) What is the sample space of this experiment? (b) If I talked about the event of "rolling a number bigger than 6", would this be a simple or a compound event? Why? 2. Consider this experiment: I have three nickels. I toss each nickel one time and record whether heads or tails appears. (a) What is the sample space of this experiment? (b) If I talked about the event of "getting all tails", would his be a simple or a compound event? WhyExplanation / Answer
2. (a) In this experiment If someone toss three of the nickels one time and record whether heads or tails appears. The sample space consists of one of two outcomes—heads or tails; where heads denotes as H and talis denotes as T. And the total number of events are calculated as 23 = 8
So,the sample space of this experiment is- {(H,H,H),(H,H,T),(H,T,H),(H,T,T),(T,H,H),(T,H,T),(T,T,H),(T,T,T)}
(b) In this experiment the event of "getting all tails" will be a compound event.
The reason why the event of "getting all tails" will be a compound event is,The probability that a nickel will show tail when you toss only one nickel is a simple event. And the probability of compound events combines atleast two simple events. So if we toss three nickels,the probability of "getting all tails" is a compound event because it combines three simple events.