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An experiment consists of flipping a coin, rolling a 11 sided die, and spinning a roulette wheel. What is the probability that the coin comes up heads and the die comes up less than 4 and the roulette wheel comes up with a number greater than 14 ?

My thought process was to break down each instance separately and then multiply them all together but not sure if i am going about the problem the right way

coin flip: $\frac{1}{2}$

rolling a 11 sided dice come up less than 4: $\frac{3}{11}$

roulette wheel come up greater than 14: $\frac{15}{36}$

jmike
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  • Yes, you are thinking about this the right way: since these events are independent, you can just multiply their individual probabilities to get the probability for all three to happen at once. One question remains: does the roulette wheel have a $0$, or maybe even a $00$? – Bram28 Nov 12 '17 at 03:22
  • Is the coin fair? Is the die fair? How does a roulette wheel work (i.e. how many possible outcomes are there?)? Are all of the events independent? – Xander Henderson Nov 12 '17 at 03:23
  • @Bram28 good point not sure – jmike Nov 12 '17 at 04:14
  • @Bram28 A roulette wheel has both $0$ and $00$. – Radial Arm Saw Jun 20 '20 at 02:00
  • @RadialArmSaw Depends on the roulette wheel https://en.wikipedia.org/wiki/Roulette – Bram28 Jun 21 '20 at 18:39

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