Question

find the sample space of two coins and three coins are tossed at a time

Answer 1

Sample space of two coins are tossed at a time is {HH, HT, TT, TH}

Sample space of three coins are tossed at a time is { HHH, HHT, HTH, HTT, THH, TTH, THT, TTT }

Given :

Two coins and three coins are tossed at a time

To find :

The sample space

Solution :

Step 1 of 2 :

Find the sample space for two coins are tossed at a time

Let H = Head and T = Tail

Then the sample space contains four points

The sample space is given by

S₁ = {HH, HT, TT, TH}

Step 2 of 2 :

Find the sample space for three coins are tossed at a time

Let H = Head and T = Tail

Then the sample space contains eight points

The sample space is given by

S₂ = { HHH, HHT, HTH, HTT, THH, TTH, THT, TTT }

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