Question 1

Which theoretical probabilities are equal to 1/3? Check all that apply.

• landing on a star space on the first roll
• rolling an even number on the first roll
• landing at Cat Town on the first roll
• rolling a number greater than 4 on the first roll
• not landing on a question mark or star on the first roll

Question 2

An experiment is rolling two fair dice and adding the numbers. State the sample space. S =? Find the probability of getting a sum of 2. Round to four decimal places, if necessary. P(2) =? Find the probability of getting a sum of 8. Round to four decimal places, if necessary. P(8) =? Find the probability of getting a sum of 6 or sum of 11. Round to four decimal places, if necessary. P(6 or 11) =? Find the probability of not getting a sum of 9. Round to four decimal places, if necessary. P(not 9) = ?

Question 3

As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: 1) A(n) 3 of Spade s? 2) A Club or Heart? 3) A number smaller than 4 (counting the ace as a 1)? Question 4

A bag of M&M's has 3 red, 2 green, 5 blue, and 4 yellow M&M's. Suppose you randomly select two M&M's from the bag one at a time without replacing the first M&M.

Let A = first M&M is red and B = second M&M is red. Find the following probabilities. (Write your answers as fractions.) a) P(A) = b) P(B | A) = c) P(A and B) =

Answer the questions in sequential order