There are 3 cards in a hat; one is a king, one is a queen, and one is an ace. Two cards are to be selected at random with replacement. Using a tree diagram, obtain the sample space for the experiment. Then, find the probability that you choose the same card twice. Round to 4 decimals when necessary.

You roll a fair six-sided die. The die shows a two or a three

2) You roll a fair six-sided die. The die shows an even number or a number greater than three.

7) There are eight nickels and eight dimes in your pocket. You randomly pick a coin out of your pocket and place it on a counter. Then you randomly pick another coin. Both coins are nickels.

9) A cooler contains twelve sports drinks: five lemon-lime and seven orange. Three of the lemon-lime and five of the orange drinks are cold. The others are still warm. You randomly grab a bottle. It is orange flavored or warm.

4) A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select another piece of fruit. The first piece of fruit is an apple and the second piece is a peach.