A bag contains 5 red marbles, 6 white marbles, and 6 blue marbles.
You draw 5 marbles out at random, without replacement.
Round your answers to 4 decimal places as needed.
What is the probability that all the marbles are red?

What is the probability that exactly two of the marbles are red?

What is the probability that none of the marbles are red?

1)A bag contains 6 red marbles, 7 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement.
2)6C4/20C4 = 0.0031
3) 14C4/20C4 = 0.2066

The equation    is equivalent to    (subtract x from both sides).if we let  , then the solution(s) to this equation is equivalent to finding the fixed points of  :     is continuous because the difference of two continuous functions is still continuous (the second function can be viewed as y=x, which is just a linear function).let us take the given range for  :     if we subtract  from everything, then we will get the possible  range of values for  at a point since  . we can substitute in h(x) at the last step.    for  , we have    this tells us the value of  is between 0 and 1 inclusive.for  we have    this tells us the value of  is between -1 and 0 inclusive.from these results, we can conclude thath(0) can be above the x-axis or equal to 0.h(1) can be below the x-axis or equal to 0.therefore, 0 is an intermediate value between  and  .  is a continuous function; it has to attain a value of 0 somewhere in the interval of  .by the intermediate value theorem, there is a number  in the interval  that satisfies the equation  .and we established before that  is the same as  .