Question

A coin is tossed twice. If the
second throw results in a head.
dire is thrown, other wise a win
is tossed
write the Sample Space
of the experiment.
​

Answer 1

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Maths

Probability

Introduction to Probability

A coin is tossed twice. If ...

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A coin is tossed twice. If the second throw result in a tail, a die is thrown. Describe the sample space for this experiment.

December 20, 2019

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Khan Meda

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ANSWER

A coin is tossed twice

The sample space is : s

1

={HH,HT,TH,TT}

If the second toss shows a tail (HT,TT), then a die is rolled and it sample space is:

S

2

(1,2,3,4,5,6)

If the second toss shows a rail (HH,TH) then there is no further action.

Hence the contained sample space is:

S={HH, TH,HT1,HT2,HT3,HT4,HT5,HT6,TT1,TT2,TT3,TT4,TT5,TT6}