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.