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Probability

Short Answer Type

361.

Describe the sample space for the following experiment.
A coin is tossed twice.

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362. Describe the sample space S, when a die is tossed once .

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363.

Describe the sample space for the following experiment.
A coin is tossed and a die is thrown (rolled).

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364.

Describe the sample space for the following experiment.
A coin is tossed and a die is rolled only in case a head is shown on the coin.

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365. 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.

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366. A coin is tossed. If the outcome is a head, a die is thrown. If the die shows up an even number, the die is thrown again. What is the sample space for the experiment?

A coin is tossed. The sample space,
$straight S subscript 1 space equals space left curly bracket straight H comma space straight T right curly bracket$
For T, there is no further action.
For H, a die is rolled with sample space
$straight S subscript 2 equals left curly bracket 1 comma space 2 comma space 3 comma space 4 comma space 5 space 6 right curly bracket$
For H1, H3, H5, no further action.
For H2, H4, H6, die is rolled again
∴ The combined space is
S = {T, H1, H3, H5, H21, H22, H23, H24, H25, H26, H41, H42, H43, H44, H45, H46, H61, H62, H63, H64, H65, H66}

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367. 2 boys and 2 girls are in Room X, and 1 boy and 3 girls are in Room Y. Specify the sample space for the experiment in which a room is selected and then a person.

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368. An experiment consists of recording boy-girl composition of families with 2 children. What is the sample space if we are interested in knowing whether it is a boy or girl in the order of their births?

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369. An experiment consists of recording boy-girl composition of families with 2 children. What is the sample space if we are interested in the number of girls in the family?

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370.

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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