1. The tree diagram shows the outcomes of rolling a die and flipping a coin. How many total outcomes are there?
2. The tree diagram shows the outcomes of rolling a die and flipping a coin. What is the probability of rolling an even number and flipping a head?
3. How many total outfit options are represented?
4. A bag contains some red-colored and some blue-colored marbles. First a red-colored marble is drawn and then, without replacing the first marble, a blue-colored marble is drawn. Are the two events dependent or independent?
5. Two marbles are drawn from a container in such a way that the first marble drawn is replaced before selecting the second marble. Does the outcome of the first draw affect the outcome of the second?
6. There are 6 red marbles, 5 green marbles, and 4 yellow marbles in a bag. If Joe picks 2 marbles one after the other without replacement, then what is the probability that both are red in color?
7. A box contains all the letters of the word U N D E R S T A N D. What is the probability of selecting an 'N' first and a 'D' next, if the first letter is replaced?
8. Two dice are rolled and it is recorded whether the result on each is odd or even. What is the probability both are odd?
9. A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a faulty brand B battery is selected?
10. A box contains 3 brand A batteries and 7 brand B batteries. 30% of brand A batteries are faulty and 40% of brand B batteries are faulty. A battery is selected at random and then checked to see if it is faulty. What is the probability that a not faulty brand A battery is selected?