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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?

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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?

Sample space, if we are interested to know the number of girls in the family:
It is 0, if the outcome is BB in sample space of part (i)
It is 1, if the outcome in BG or GB in sample space of part (i)
It is 2, if the outcome is GG in sample space of part (i)
Hence, the sample space is S = {0, 1, 2}

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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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