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A coin is tossed once. If a head comes up, then it is tossed again and if a tail comes up, a dice is thrown. The number of points in the sample space of experiment is
  • a)
    4
  • b)
    24
  • c)
    12
  • d)
    8
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
A coin is tossed once. If a head comes up, then it is tossed again and...
Solution:
The sample space of the experiment can be obtained by listing all possible outcomes. Let's first list the possible outcomes of the first coin toss:

H (head)

T (tail)

If the first toss results in a head, then the coin is tossed again and we have two possible outcomes for the second toss:

HH (two heads)

HT (one head and one tail)

If the first toss results in a tail, then a dice is thrown and we have six possible outcomes for the dice:

T1, T2, T3, T4, T5, T6

Therefore, the sample space of the experiment is:

{HH, HT, T1, T2, T3, T4, T5, T6}

which contains 8 outcomes. Hence, the correct answer is option D.
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A coin is tossed once. If a head comes up, then it is tossed again and if a tail comes up, a dice is thrown. The number of points in the sample space of experiment isa)4b)24c)12d)8Correct answer is option 'D'. Can you explain this answer?
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