Kailynn has a bag with an equal number of red, yellow, and blue marbles. She makes a tree diagram to show the sample space if she randomly selects two
marbles out of the bag.

What is the probability that both marbles selected are different colors?

6/9

Step-by-step explanation:

Probability is the likelihood or occurrence of an event. Probability is the ratio of the total number of possible outcomes to the total outcomes. That is:

Probability = total possible outcomes / total outcomes

From the tree diagram we can see that:

total outcomes = {RR, RY, RB, YR, YY, YB, BR, BY, BB} = 9

getting different colors = {RY, RB, YR, YB, BR, BY} = 6

Therefore, the probability that both marbles selected are different colors = number of different colors / total outcomes

The probability that both marbles selected are different colors = 6 / 9

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1