Question

Each day, Finian takes either a bath or a shower in the morning. S represents shower, and B represents bath. What is the sample space of his morning ritual for three days in a row? a. {S, B, S} b. {SSS, SBS, SBB, SSB, BBB, BSB} c. {SSS, SSB, SBB, SBS, BBB, BBS, BSS, BSB} d. {SS, SB, BB}

Answer 1

Answer: The correct option is

(c) {SSS, SSB, SBB, SBS, BBB, BBS, BSS, BSB}.

Step-by-step explanation: Given that Finian takes either a bath or a shower in the morning each day.

Also, S represents shower and B represents bath.

We are to write the sample space of his morning ritual for three days in a row.

The possibilities of having a shower or a bath each morning for three days are shown below :

First day Second day Third day

S S S

S S B

S B S

S B B

B S S

B S B

B B S

B B B

Therefore, the sample space ritual for three days in a row is

{SSS, SSB, SBB, SBB, BSS, BSB, BBS, BBB}

Thus, (c) is the correct option.