Assignment:
Q1. If an ace has a face value of one, a 2 has a value of two, a Jack has a value of 11, and so on for all of the cards, what is the probability of drawing a card that has a face value of less than six?
Q2. A friend tells you that a tree diagram can be used to generate the sample space for any experiment, but a table or grid can not.
(a) Is this true?
(b) Use examples to explain your response in part (a).
Q3. A card is drawn form a standard deck of playing cards, returned to the deck, and then a second card is drawn. Determine the following probabilities:
a. Both cards are aces or both cards are face cards.
b. Both cards are red or both cards are face cards.
Provide complete and step by step solution for the question and show calculations and use formulas.