A bag contains 10 red, 3 blue, and 2 yellow marbles. If 3 marbles are selected one at a time with replacement, find the probability that all three are different colors

4/225

Step-by-step explanation:

To get 3 marbles that all three are different colors, we need to get a red, blue, and yellow marble (not necessarily in that order)

So we get the probability of getting each with replacement (meaning they are all out of 15) and multiply them.

The probability of getting a red is:

10/15 = 2/3

The probability of getting a blue is:

3/15 = 1/5

The probability of getting a yellow is:

2/15

So to get all 3 different colors:

2/3 * 1/5 * 2/15 = 4/225

There is a 1/6 probability

Step-by-step explanation:

answer: all of the odd numbers were opened

the first person was the one that was opening all of the lockers. since one is odd, this causes all of the odd number lockers to be opened in the end.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."