Respuesta :
Solution
John is asked to roll a fair number cube, numbered from one to six, and toss a balanced quarter simultaneously
Total possible outcome when a number cube is rolled is 6, i.e numbers from 1 to 6
Total possible outcome when a balanced quarter is 2 i.e a head or a tail
The formula to find probability, P, is
[tex]P=\frac{\text{Required Outcome}}{Total\text{ possible outcome}}[/tex]The probability that a he will roll a 2, P(2) is
[tex]P(2)=\frac{1}{6}[/tex]The probability that the quarter comes up with a tail, P(T) is
[tex]P(T)=\frac{1}{2}[/tex]The probability that he will roll a 2 and the quarter will come up tails is
[tex]P=P(2)\times P(T)=\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}[/tex]Hence, the answer is 1/12
