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?

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

Yes, this is it. The coin and the die are independent of each other, so you can just multiply the probabilities.


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.