1.You draw one card from a regular deck of 52 cards. All cards are worth their numbered value. An "ace" is worth one point, "jack", "queen" and "king" cards are each worth ten points.

a.) Graph the probability distribution for the value of the card.

b.) Determine the expected outcome for the value of the card.

2.Ten friends decide to play Monopoly. To determine the turn order each friend rolls a single regular 6 sided die.

a.) What is the probability that at least 8 friends do not roll six?

b.) What is the expected number of friends that do not roll six?

3.For each part, write the relevant formula used to determine each value of the probability distribution and substitute all given information. It is not necessary to simplify your answer.

a.) A regular die is rolled five times. "Six" is considered a success.

b.) A number from one to twenty is randomly generated by a computer software program.

c.) A regular spinner with 7 segments is spun five times. "Prime" is considered a success.

d.) A five card hand is dealt from a regular deck of cards. Getting a "diamond" card is considered a success.

e.) Student council is composed of five elected individuals. The eligible students include eight grade nine students, three grade ten students, nine grade eleven students and six grade twelve students. Consider every elected grade twelve student to be a success.

4.Five cards are drawn from a regular deck of 52 cards. Determine the probability that you obtain "Four of a Kind".