A bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. You draw 4 marbles out at random, without replacement. What is the probability that all the marbles are red?

8/7752

Step-by-step explanation:

Since we are told that the bag contains 5 red marbles, 8 white marbles, and 7 blue marbles. The total number fo marbles would be:

= 5 + 8 + 7

= 20 marbles

If 4 marbles out at random, without replacement, the probability that all the marbles are red would be:

= 5/20 × 4/19 × 3/18 × 2/17

= 1/4 × 4/19 × 1/6 × 2/17

= 8/7752

D. is the correct option

Discriminant is greater than zero, so the roots are unequal and real.

Step-by-step explanation:

We use discriminant to find the nature of the roots

discriminant formula is, b^2 - 4ac

13^2 (-4) × 4 × 6 = 169-96

73 >0

if discriminant greater than 0 that means the roots are real and unequal.