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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?

There are 2 members in the family. They are to be boy(s), girl(s).
Sample space, if we wish to know whether it is boy(s) or girl(s) in the order of their births is:
S = {BB, BG, GB, GG}

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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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