Consider this experiment: I have 26-sided die where each face has a different ca
ID: 3231444 • Letter: C
Question
Consider this experiment: I have 26-sided die where each face has a different capital letter from the English alphabet. I roll the die one time and record the letter that comes up on the top face. (a) What is the sample space of this experiment? (b) If I talked about the event of "rolling a vowel", would this be a simple or a compound event? Why? Consider this experiment: I have two 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 talked about the event of "getting both heads", would this be a simple a compound event? Why?Explanation / Answer
Q.1 (a) Sample space of this experiment
Answer : The range of values of randome variable and it is the alphabet from A to Z
(b) Rolling a vowel is a simple event and it is an event occuring at single time only
Q.2 (a) Sample space of this experiment
Answer : (HH), (TT), (HT), (TH)
(b) " getting both heads" is a compound event and it is not a single time occuring event, so it is a compound event.