4). You have a bag of 15 soccer balls containing: 1 red soccer ball, 2 green soccer balls, 3 blue soccer balls, 4 black soccer balls, and 5 yellow soccer balls.

What is the probability that you reach into the bag and pull out a yellow soccer ball, put it back, and then pull out another yellow soccer ball?

Write the answer as a decimal rounded to the nearest thousandth (three decimal places), if necessary.

5). You have a bag of 15soccer ballscontaining: 1 solid redsoccer ball, 2 solid greensoccer balls, 3 red/green stripedsoccer balls, 4 solid bluesoccer balls, and 5 green/blue stripedsoccer balls.

What is the probability that you reach into the bag and pull out onesoccer ballwith green AND red on it?

Write the answer as a decimal rounded to the nearest thousandth (three decimal places), if necessary.

6). A deck is 52 cards. There are 4 suits: hearts, diamonds, clubs, and spades. All hearts and diamonds are red, and all clubs and spades are black. Each suit has 13 cards: A (ace), 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king). There are 4 of each card (one from each suit). The J, Q, and K cards are called "face cards" and there are 12 of them (3 for each suit).

Given the two events:

Event A is drawing a king

Event B is drawing a diamond face card

Calculate the probability that you draw a king OR a diamond face card. P(AUB)

Round the answer to the hundredth (2 decimal places).