Question

John is asked to roll a fair number cube, numbered from one to six,and toss a balanced quarter simultaneously. What is the probabilitythat he will roll a 2 and the quarter will come up tails?Leave your answer in fraction form

Answer 1

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

`P=\frac{\text{Required Outcome}}{Total\text{ possible outcome}}`

The probability that a he will roll a 2, P(2) is

`P(2)=(1)/(6)`

The probability that the quarter comes up with a tail, P(T) is

`P(T)=(1)/(2)`

The probability that he will roll a 2 and the quarter will come up tails is

`P=P(2)* P(T)=(1)/(6)*(1)/(2)=(1)/(12)`

Hence, the answer is 1/12