Knowledge and Understanding : 1. Calculate the following probabilities regarding a regular 6-sided die. Put in lowest term fractions. (a) Number greater than 4 on one die. (b) Sum greater than 10 on 2 dice. (c) Same number on 2 dice. 2. Draw a tree diagram to show all the outcomes of the following: (a) Flipping a coin then rolling a regular die. (b) A sports series where first team to win 3 games moves on. 3. Given the following Venn Diagram, state the following probabilities as fractions, Put in lowest terms. (a) P( M) (b) P( N) (c) P(S) M (d) P( MnN) (e) P( M') 125 (f) P( MUN) (g) P(N) Application: 1. Given the following information: P(A) = 0.6, P(B) =0.25 and P( A n B) = 0.18. Calculate: (a) P( A UB) (b) P(A") (c) Are sets A and B disjoint? (mutually exclusive)? Explain. 2. A box of chocolate Easter eggs has 3 types of chocolate eggs: 15 white, 10 milk and 13 dark (a) You reach into the box and take out an egg and eat it. You repeat the steps twice more. Draw a tree diagram to show the possible outcomes of choosing 3 eggs. (b) What is the probability of selecting three white chocolate eggs