Question

Suppose you want to figure out how likely it would be to spin red and flip tails. We call red and tails the event.

Answer 1

Answer with Explanation: We need to find the probability of obtaining the red and tails when the two are flipped at the same time:

$\begin{gathered} P\left(R\right)=\frac{1}{2} \\ P\left(T\right)=\frac{1}{2} \end{gathered}$

The probability of the red and tails or P(Red and Tails) is as follows:

$\begin{gathered} P\left(R\text{ and }T\right?=P\left(R\right)\times P\left(T\right) \\ \therefore\rightarrow \\ P\left(R\text{ and }T\right?=\frac{1}{2}\times\frac{1}{2}=\frac{1}{4} \\ P\left(R\text{ and }T\right?=\frac{1}{4} \end{gathered}$

Conclusion: Therefore the probability is (1/4) or 25%.