# Probability for rolling an odd number and tossing a coin on heads

A coin is tossed and a die rolled. Find the probability of getting a head and an odd number. The answer is $\frac{1}{4}$.

My reasoning is that rolling an odd number is $\frac{1}{2}$, and tossing a coin on heads is $\frac{1}{2}$. So $0.5 \times 0.5$ = $\frac{1}{4}$.

Is this basically it?

• Yes. The outcome of the die is independent of the outcome of the coin: $P(d\cap c)=P(d|c)\cdot P(c)=P(d)\cdot P(c)$ – callculus Jul 7 '15 at 10:19