Write down the sample space for tossing three coins. Also write down the set of outcomes for the events (i) getting the same sign on all the coins (ii)getting at least two heads.

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Solution

Sample space = {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}

Set of outcomes for the event “getting the same sign on all the coins = {TTT, HHH}
Set of outcomes for the event “getting at least two heads” = {HHH, HHT, HTH, THH}

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Write down the sample space for tossing three coins. Also write down the set of outcomes for the events (i) getting the same sign on all the coins (ii)getting at least two heads.

Sample space = {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH} Set of outcomes for the event “getting the same sign on all the coins = {TTT, HHH} Set of outcomes for the event “getting at least two heads” = {HHH, HHT, HTH, THH}

Sample space = {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}

Set of outcomes for the event “getting the same sign on all the coins = {TTT, HHH}
Set of outcomes for the event “getting at least two heads” = {HHH, HHT, HTH, THH}