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}

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.

step-by-step explanation:

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