A bag contains 5 red marbles, 4 blue marbles and 6 green marbles. If three marbles
are drawn out of the bag, what is the exact probability that all three marbles drawn
will be red?

The probability of drawing three red marbles is 1/27, or about 3.71%

Step-by-step explanation:

Add all the marbles:

5 + 4 + 6 = 15

Find favourable outcomes:

5

The probability for drawing a red marble is:

5/15 or 1/3

Multiply this ×3 to find the probability of drawing three red marbles.

1/3 × 1/3 × 1/3 = 1/27

1 ÷ 27 = 0.0370370370 ... repeating

the answer for the second equation is (4,0)

answer: the correct option is d.

explanation:

it is given that the triangle j'k'l' shown on the grid below is a dilation of triangle jkl using the origin as the center of dilation.

from the given graph it is noticed that k(4,8) and k'(2,4). let origin is defined by o and scale factor is defined by k, then

    (1)

distance formula,

put these values in equation (1).

therefore scale factor is     and option d is correct.