Given that the number rolled is odd, it can be 1, 3, or 5 = 3 possibilities.
Only one of the possibilities is success . . . rolling a 3 .
So the probability of success is 1/3 = 33 and 1/3 percent .
The probability of rolling a 3 given that the number rolled is odd is 1/3 or approximately 0.33. This conclusion is reached by first identifying the total number of possible outcomes (in this case, the three odd numbers on a die) and then dividing the number of desired outcomes (rolling a 3) by this total. ;
The probability of rolling a 3 given that the number rolled is odd is 3 1 , meaning there is one successful outcome (rolling a 3) out of three possible odd outcomes (1, 3, and 5).
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[tex]0.4 \times 0.5 \times 0.6 \\ = \frac{4}{10} \times \frac{5}{10} \times \frac{6}{10} \\ \\ = \frac{120}{1000} = 0.12[/tex]