A jar contains 6 red marbles numbered 1 to 6 and 10 blue marbles numbered 1 to 10. A marble is drawn at random from the jar. Find the probability of the given event, please show your answers as reduced fractions. (a) The marble is red. P(red)= 38Correct (b) The marble is odd-numbered. P(odd)= 1116Incorrect (c) The marble is red or odd-numbered. P(red or odd) = (d) The marble is blue or even-numbered. P(blue or even) = 316Incorrect __________ 26. A dice is rolled 4 times. What is the probability of showing a 5 on every roll? (Round to 4 decimal places)

_____

Wyatt buys a bag of cookies that contains 4 chocolate chip cookies, 7 peanut butter cookies, 7 sugar cookies and 6 oatmeal raisin cookies. What is the probability that Wyatt randomly selects a peanut butter cookie from the bag, eats it, then randomly selects another peanut butter cookie? (Round your answer to 4 decimal places.)

27.

____

Ivan buys a bag of cookies that contains 6 chocolate chip cookies, 9 peanut butter cookies, 4 sugar cookies and 7 oatmeal cookies. What is the probability that Ivan randomly selects a sugar cookie from the bag, eats it, then randomly selects a peanut butter cookie? Probability = (Round your answer to 4 decimal places.)

28.

_________

29.

A bag contains 8 red marbles, 6 white marbles, and 6 blue marbles. You draw 4 marbles out at random, without replacement. Find the following probabilities and round to 4 decimal places. a. The probability that all the marbles are red is b. The probability that none of the marbles are red is

_______

30.

A hacker is trying to guess someone's password. The hacker knows (somehow) that the password is 3 digits long, and that each digit could be a number between 0 and 6. Assume that the hacker makes random guesses. What is the probability that the hacker guesses the password on his first try? Round to six decimal places. Probability =

_______

31.

A special deck of cards has 8 green cards , 13 blue cards , and 6 red cards . When a card is picked, the color is recorded. An experiment consists of first picking a card and then tossing a coin.

a. How many elements are there in the sample space?

b. Let A be the event that a green card is picked first, followed by landing a head on the coin toss. P(A) = Round your answer to 4 decimal places.

c. Let B be the event that a red or blue is picked, followed by landing a head on the coin toss. Are the events A and B mutually exclusive?

• Yes, they are Mutually Exclusive
• No, they are not Mutually Exclusive

d. Let C be the event that a green or blue is picked, followed by landing a head on the coin toss. Are the events A and C mutually exclusive?

• _____No, they are not Mutually Exclusive
• _____Yes, they are Mutually Exclusive

32.

You roll two six-sided fair dice.

a. Let A be the event that either a 3 or 4 is rolled first followed by an odd number. P(A) = Round your answer to four decimal places.

b. Let B be the event that the sum of the two dice is at most 7. P(B) = Round your answer to four decimal places.

c. Are A and B mutually exclusive events?

• No, they are not Mutually Exclusive
• Yes, they are Mutually Exclusive

d. Are A and B independent events?

• _____They are not Independent events
• ______They are Independent events