if you roll two fair six sided dice what's the probability that both dice show an odd number

Answer with explanation:When a die is thrown once, total possible outcome ={1,2,3,4,5,6}=6Total number of odd number in total possible outcome when a die is thrown once ={1,3,5}=3Probability of an event                                 [tex]=\frac{\text{Total Possible Outcome}}{\text{Total favorable outcome}}[/tex]Probability of getting an Odd number when a Dice is thrown once          [tex]=\frac{3}{6}\\\\=\frac{1}{2}[/tex]So, When a two fair six sided dice is rolled, the probability that both dice show an odd number               [tex]=\frac{1}{2}\times \frac{1}{2}\\\\=\frac{1}{4}[/tex]