Question

An experiment consists of flipping a coin, rolling a 15 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 17 ?

Answer 1

Answer:

There is a 26.39% 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 17.

Step-by-step explanation:

We have to find the probability of the three separate events, and then multiply them.

coin comes up heads

There is a $\frac{1}{2}$ probability that the coin comes up heads.

the die comes up less than 4

The are 15 sides on the die, from 0 to 14.

The values that satisfy us are 0,1,2,3.

So the probability is $\frac{4}{15}$.

the roulette wheel comes up with a number greater than 17

There roulette wheel can come from 1 to 36. There are 19 values greater than 17. So this probability is $\frac{19}{36}$

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 17 ?

$P = \frac{1}{2}*\frac{4}{15}*\frac{19}{36} = 0.2639$

There is a 26.39% 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 17.