Question

A coin is flipped, and a number cube is rolled. What is the probability of getting heads on a coin and getting a number greater than five on the number cube?A) 1/12B) 1/6C) 1/4D) 1/3

Answer 1

The two events are independent. This means that the combined probability can be calculated using the formula:

`P(A\text{ }and\text{ }B)=P(A)\cdot P(B)`

The probability of getting a head on a coin flip is given to be:

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

while, assuming the number cube has 6 sides, the probability of getting a number greater than five will be:

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

Therefore, the probability of both events will be:

`\begin{gathered} P(A\text{ }and\text{ }B)=(1)/(2)\cdot(1)/(6) \\ P(A\text{ }and\text{ }B)=(1)/(12) \end{gathered}`

OPTION A is correct.