Thursday, 22 December 2016
1. What is the probability of flipping a coin and not landing on heads?
Hint: notice the word not
2. What is the probability of rolling a die and not getting a 1?
Hint: another not
3. What is the probability of drawing a number card less than 4 from a standard deck of cards?
Hint: Aces do not count
4.
i. What is the probability of blindly reaching in the bag and pulling out a green or blue marble?
ii. What is the probability of pulling out an orange marble or not a blue one?
iii. What is the probability of pulling out a not-blue and not-orange marble?
5.
i. Rolling a die and getting an odd number or a 4.
ii. Rolling a die and getting an even number or a four.
iii. Rolling a die and getting an odd number or an even number.
6.
i. What is the theoretical probability of drawing each suit?
ii. Which suit has the largest experimental probability, and what is it?
iii. Which suit's experimental probability is farthest from the theoretical probability, and by how much?
7.
i. How many different outcomes could happen?
ii. What is the probability drawing a black card, flipping tails, and rolling a 6?
iii. What is the probability of drawing a red card, flipping heads and rolling an odd number?
iv. Make an area model to illustrate the different possible outcomes for drawing a certain suit from a deck of cards and rolling a die.
v. Using the area model above, what is the probability of drawing a spade and rolling a number less than three?
8. What is the probability of flipping a coin four times in a row and having it land on heads each time?
Hint: there are two possible outcomes for each flip
9. If you are allowed to choose one fruit, one sandwich, and one bag of chips, how many different lunches can be made from these choices: apple, orange, banana, PB&J on whole wheat, turkey and Swiss on sourdough, tuna salad on rye, Fritos, Cheetos, Nacho Cheese Doritos, or Sunchips?
Hint: count the options for each category
10. If you pick one card each from two decks of cards, what is the probability that both cards will be the Ace of Spades?
Answer:
1.) 
or 
or
2.) 
or 
or
3.) 
4.i) 
4.ii) 
4.iii) 
5.i) mutually exclusive
5.ii) neither
5.iii) both mutually exclusive and complementary
6.i) 
or 
or
6.ii) the experimental probability of diamonds is 
or 
or
6.iii) the experimental probability of spades is 
or 
, which is 9 percentage points less than its theoretical probability.
or , which is 9 percentage points less than its theoretical probability.
7.i) 24 different combinations of outcomes
7.ii) 
7.iii) 
7.iv)
7.v) 
8.) 
9.) 3 × 3 × 4 = 36 possible lunches
10.) 
