Question

question 1 (sample spaces lc) (multiple choice worth 2 points) which event will have a sample space of s = {a, b}? flipping a fair, two - sided coin rolling a six - sided die spinning a spinner with three sections choosing a tile from a pair of tiles, one with the letter a and one with the letter b question 2 (sample spaces mc) (multiple choice worth 2 points) a set of eight cards were labeled as m, u, l, t, i, p, l, y. what is the sample space for choosing one card? s = {i, u, y} s = {m, l, t, p} s = {i, l, m, p, t, u, y} s = {i, l, l, m, p, t, u, y}

Explanation:

Step1: Recall sample - space definition

The sample space is the set of all possible outcomes of an experiment.

Step2: Analyze Question 1

When flipping a fair, two - sided coin, the possible outcomes are heads (A) and tails (B). So the sample space is \(S=\{A,B\}\).

Step3: Analyze Question 2

A set of eight cards labeled as M, U, L, T, I, P, L, Y. The sample space for choosing one card is the set of all the different labels. So \(S = \{M,L,T,P,U,Y\}\) (we don't repeat the repeated labels when writing the sample - space).

Answer:

Question 1: Flipping a fair, two - sided coin
Question 2: \(S=\{M,L,T,P,U,Y\}\)