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Question

# Mansie rolls a six-sided fair die once. The desired outcome is an odd number. The sample space of the experiment is , and the favorable outcomes are .

A
{1,2,3,4,5,6}
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B
{2,4,6}
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C
{1,3,5}
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D
{1,2,3}
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E
{4,5,6}
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F
{1,2,3,4,5}
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Solution

## The correct option is C {1,3,5}Sample Space (S) is the collection of all possible outcomes. As Mansie rolls a six-sided fair die once, the possible outcome can be 1 or 2 or 3 or 4 or 5 or 6. Hence, the sample space, S={1,2,3,4,5,6}. Mansie desires to roll an odd number. In the sample space (S), the odd numbers are 1, 3 and 5. Hence, the favorable outcomes are {1,3,5}.

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