Question

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a coin is tossed and a standard number cube is rolled.what is the probability that the coin shows head and the number cube shows a even number.

A.1/6
B.1
C.1/4
D. 1/2

Answer 1

\(P(\text{head})=1/2\)
\(P(\text{even number})=P(\{ 2,4,6\})=3/6=1/2\)

\[P(\text{head AND even number})=P(\text{head})\times P(\text{even number}) \\
=\frac{1}{2}\times \frac{1}{2}\]