Q. 43.7( 3 Votes )

# A coin is tossed

Answer :

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

A=first toss is head

A={HHH,HTH,HHT,HTT}

B=second toss is head

B={HHH,HHT,THT,THH}  AB={HHH,HHT}   Therefore A and B are independent events.

(ii) Sample space S={(HHH),(HHT),(HTH),(HTT),(THH),(THT),(TTH),(TTT)}

B=second toss is head

P(B)={HHH,HHT,THT,THH}

C= exactly two heads are tossed in a row.

P(C)={HHT,THH}  AB={HHT,THH}   Therefore B and C are not independent events.

(iii) Sample space S={(HHH),(HHT),(HTH),(HTT),(THH),(THT),(TTH),(TTT)}

C= exactly two heads are tossed in a row.

C={HHT,THH}

A=first toss is head

A={HHH,HTH,HHT,HTT}  AB={HHT}   Therefore A and C are independent events.

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