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Question

# For the given situation, find the probability of getting an odd number when a die is rolled. Also, check whether desired outcome is same as favorable outcome.

A
P(O)=12

The desired outcome is same as favorable outcome, i.e., Getting an odd number.
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B
P(O)=12

The desired outcome is not the same as favorable outcome, i.e., Getting an odd number.
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C
P(O)=12

The desired outcome is same as favorable outcome, i.e., Getting an even number.
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D
P(O)=12

The desired outcome is not the same as favorable outcome, i.e., Getting an even number.
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Solution

## The correct option is A P(O)=12 The desired outcome is same as favorable outcome, i.e., Getting an odd number.Let S be the sample space obtained when we roll a die. S={1,2,3,4,5,6} Let P(O) denotes the probability of getting an odd number when a die is rolled. P(O)=Number of favorable outcomeTotal number of outcomes In this case, Number of favorable outcome =3, i.e., {1,3,5} Total number of outcomes =6, i.e., {1,2,3,4,5,6} P(O)=36 P(O)=12 The probability of obtaining an odd number when a die is rolled is 12. Favorable outcome = Getting an odd number The desired outcome is "getting an odd number" as getting an odd number signifies a "WIN" situation. The desired outcome is same as favorable outcome, i.e., Getting an odd number. Therefore, option (a.) is the correct answer.

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