An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the

Question

An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.​

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Piper 4 weeks 2021-08-16T15:45:56+00:00 2 Answers 0 views 0

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    2021-08-16T15:47:10+00:00

    \huge\purple\star\underline\mathfrak\pink{</em></strong><strong><em>AN</em></strong><strong><em>SWER</em></strong><strong><em> :-}\purple\star

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

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

    ➡️The following problem can be divided in two cases

    ➡️(i) The number on the die is even.

    ➡️The sample space SE={(2,H),(4,H),(6,H),(2,T),(4,T),(6,T)}

    ➡️(ii) The number on the die is odd and the coin is tossed twice

    ➡️The sample space

    ➡️So = {(1,H,H), (3,H,H), (5,H,H), (1,H,T), (3,H,T), (5,H,T), (1,T,H), (3,T,H), (5,T,H), (1,T,T), (3,T,T), (5,T,T)}

    ➡️Hence, the overall sample space for the problem= SE + So

    ➡️S = {(2,H), (4,H), (6,H), (2,T), (4,T), (6,T), (1,H,H), (3,H,H), (5,H,H), (1,H,T), (3,H,T), (5,H,T), (1,T,H), (3,T,H), (5,T,H), (1,T,T), (3,T,T), (5,T,T)}

    Step-by-step explanation:

    HOPE IT HELP YOU ✌✌

    0
    2021-08-16T15:47:29+00:00

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    \Large\fbox{\color{purple}{QUESTION}}

    An experiment consists of rolling a die and then tossing a coin once if the number on the die is even. If the number on the die is odd, the coin is tossed twice. Write the sample space for this experiment.

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    \bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid }

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

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

    ➡️The following problem can be divided in two cases

    ➡️(i) The number on the die is even.

    ➡️The sample space SE={(2,H),(4,H),(6,H),(2,T),(4,T),(6,T)}

    ➡️(ii) The number on the die is odd and the coin is tossed twice

    ➡️The sample space

    ➡️So = {(1,H,H), (3,H,H), (5,H,H), (1,H,T), (3,H,T), (5,H,T), (1,T,H), (3,T,H), (5,T,H), (1,T,T), (3,T,T), (5,T,T)}

    ➡️Hence, the overall sample space for the problem= SE + So

    ➡️S = {(2,H), (4,H), (6,H), (2,T), (4,T), (6,T), (1,H,H), (3,H,H), (5,H,H), (1,H,T), (3,H,T), (5,H,T), (1,T,H), (3,T,H), (5,T,H), (1,T,T), (3,T,T), (5,T,T)}

    \Large\mathcal\green{FOLLOW \: ME}

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