2 dice, one green and one black, are rolled once. Which of the following events are independent?A. E = A 2 is rolled on the green die, F = A sum of 8 is rolled on both dice.B. E = A sum of 3 is rolled on both dice, F = A 4 is rolled on the black die.C. E = A 2 is rolled on the green die, F = A sum of 7 is rolled on both dice.D. E = A 3 is rolled on the green die, F = A 5 is rolled on the black die.

There are two boxes. Box A contains 6 red balls, and 4 blue balls andBox B contains 4 red balls and 8 blue balls. A die is rolled, if the number is lessthan 3, a ball is selected from box A. If the result is 3 or more, a ball is selectedfrom Box B. Calculate:a. The probability that the ball will be red and selected from Box B.b. The probability that the ball will be blue.

5B. John packs four t shirts for a trip to the beach. If he owns nine t shirts, four of which are black, and he randomly picks which four to pack, what is the probability that he packs the four black ones?

Ms V has a box with 10 bags of M&Ms and 15 bags of Skittles. She is going to reach in and pick three bags of candy.  What is the probability she picks at least one bag of skittles? (round your answer to one nonzero digit.)

Suppose that you repeatedly roll a pair of fair dice and keep track of the sum. What is the probability that you see a sum of 7 before you see an even sum 3 times? (In particular, you keep track of how many evens you roll, and you want the probability that you roll a 7 before you get to 3 evens.

Yahtzee is a game played with 5 dice. Players attempt to score points by rolling various combinations. When all dice show the same number, it’s called Yahtzee and scores 50 points for the first one and 100 points for each successive Yahtzee in the game. a. What is the probability that a person throws a Yahtzee on the very first roll? b. What is the probability that a person throws two Yahtzees on two consecutive rolls?