An experiment consists of tossing a coin and then throwing it second time if a head occurs. If a tail occurs on the first toss, then a die is rolled once. Find the sample space.

Asked by Pragya Singh | 1 year ago |  76

##### Solution :-

Let us assume that 1, 2, 3, 4, 5 and 6 are the possible outcomes when the die is thrown.

Since either coin can turn up Head (H) or Tail (T), are the possible outcomes.

Let us take,

Sample space S= {HT, HH}

Case 2: Tail is encountered

Sample Space S= {(T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

Then,

The Overall Sample space

S = {(HT), (HH), (T1), (T2), (T3), (T4), (T5), (T6)}

Answered by Abhisek | 1 year ago

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