1. Describe what a simple event is in probability. 2. Define compound probability.

3. If A and B are two independent events in a probability experiment, what rule can be used to determine the probability that both events occur simultaneously?

4. If A and B are two dependent events in a probability experiment, what rule can be used to determine the probability that both events occur simultaneously?

For problems 5–7, determine whether the events described are independent or dependent.
5. A month is selected at random; a number from 1 to 25 is selected at random.

6. A letter of the alphabet is selected at random; one of the remaining letters is selected at random.

7. A jar contains four blue marbles and two green marbles. Saundra chooses a marble at random and does not replace it. Then she chooses a second marble.

For problems 8–10, determine whether the events described are independent or dependent. Then answer each question.

8. You have three different hats you can wear to a costume party: a baseball cap, a top hat, and a cowboy hat. You also have four different colored shirts: blue, red, green, and black. If you choose one hat and one shirt at random, what is the probability that you choose the top hat and the red shirt?

9. You have a box with 3 red marbles, 2 blue marbles, and 4 green marbles. You pull out one marble, leave it out of the box, and then pull out another marble. What is the probability of puling out a green marble followed by a blue marble?

10. Suppose you draw two cards from a standard deck of cards, one after another, without replacing the first card. What is the probability that the first card is the queen of hearts and the second is a diamond

i dont know sorry

step-by-step explanation:

its totaly b

your welcome btw

your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.