Answer :
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 [tex]\frac{1}{2}[/tex] 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 [tex]\frac{4}{15}[/tex].
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 [tex]\frac{19}{36}[/tex]
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 ?
[tex]P = \frac{1}{2}*\frac{4}{15}*\frac{19}{36} = 0.2639[/tex]
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.