1 Consider this experiment I have 26sided die where each fac

1.) 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?

Solution

1.) 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?

S={A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,P,Q,R,S,T,U,V,W,X,Y,Z}

b.) If I talked about the event of \"rolling a vowel\" , would this be a simple or a compound event? Why?

This is a simple event.

sample space= { A,E,I,O,U}.

A compound event is an event with two or more favorable outcomes. But here we are having only one outcome, rolling a vowel.