1) The Gary Allan chocolate factory makes an endless supply of candy coated chocolate, 40% of which are red. The production line mixes candy randomly in packages of 6 candies per box.

a) What type of probability is this and why (1 mark)

b) What is the expected number of red candies per box? (1 mark)

c) Create a probability distribution for the possible number of red candies per box (3 marks)

d) Create a probability histogram for the possible number of red candies per box (3 marks)

2) In a game of poker, 5 cards are dealt from a deck of 52 cards. We are interested in the probability of hearts in each hand.

a) What type of probability is this and why (1 mark)

b) What is the expected number of hearts per hand? (1 mark)

c) Create a probability distribution for the possible number of hearts per hand (3 marks)

d) Create a probability histogram for the possible number of hearts per hand (3 marks)