What is the difference between
theoretical and experimental
probability?
1. Sweet Tomatoes (a salad restaurant) is running a
special on all you can eat salads.
For $7.99 you can choose from 3 different types of
leafy greens, 5 different cheeses, 6 different types of
chopped veggies, and 4 different seasoned croutons.
How many different kinds of salads can you create if
you can choose 1 from each category.
1. Sweet Tomatoes (a salad restaurant) is running a
special on all you can eat salads.
For $7.99 you can choose from 3 different types of
leafy greens, 5 different cheeses, 6 different types of
chopped veggies, and 4 different seasoned croutons.
How many different kinds of salads can you make if
you must choose Spinach as your leafy Green (you’re
really working on getting in those vitamins)
1. Sweet Tomatoes (a salad restaurant) is running a
special on all you can eat salads.
For $7.99 you can choose from 3 different types of
leafy greens, 5 different cheeses, 6 different types of
chopped veggies, and 4 different seasoned croutons.
How many different kinds of salads can you make if
you must choose Garlic Seasoned croutons.
2. How many 8 character Google passwords can you
form if the restrictions are:
a. 5 digits followed by 3 letters (repetition allowed)
b. 4 digits followed by 4 letters (repetition NOT
allowed)
3. How many arrangements are there of the
word: BIRTHDAY
(you may not use any letter more than once)
4.
a. You flip a coin, what is the probability that you
flip a heads?
b. You flip a coin 4 times, what is the probability
you flip all tails.
c. What is the probability that you flip 3 heads then
one tail (in that order)
5. Given a spinner that is equally divided between
8 different numbers.
•What is the probability that you
spin a multiple of 2.
•What is the probability that you
spin a number less than five OR
an even.
•What is the probability that you
spin a number less than 9.
6) There are 16 coins in a can (5 pennies, 2, nickels, 3 dimes, 6
quarters) Let’s assume you have an equal probability of pulling any coin.
a) If you choose 1 coin, what is the probability it is a nickel?
b) What is the probability that if you choose 2 coins they are
both quarters (without replacement).
c) What is the probability that if you choose 2 coins they are
both quarters (with replacement).
d) What is the probability that you choose a penny and THEN
a nickel.
7) A card is drawn from a standard deck of 52 cards.
a) What is the probability it is a Jack?
b) What is the probability it is a Black Jack?
c.) What is the probability that is a Red Ace or a Red King?
a) What is the probability it is a face card?
b) What is the probability it is a Black Card or a Jack?
a) What is the probability it is a face card?
b) What is the probability it is a Black Card or a Jack?
Mrs. Griffin loves to garden. If there is a 60% chance of rain every day this
week. If it doesn’t rain, there is a 75% chance that Mrs. Griffin will plant
all of her flowers. If it does rain, there is 40% chance that Mrs. Griffin will
plant all of her flowers.
a. What is the probability that it is a rainy day and Mrs. Griffin plants all of
her flowers.
b. What is the probability that Mrs. Griffin plants all of her flowers.
You and your buddy are playing bean bags. In 8
rounds of bags, you have made 37 directly on the
box or in the hole, and 15 of them off the box.
What is the experimental probability that you get
the bean bag lands off the box.
There are 70 jolly ranchers in Mrs. Griffin’s purse.
Below is a table with the distribution of candies:
Amount
Cherry
20
Watermelon
10
Green Apple
15
Grape
25
Callum snuck over and snuck out 20 candies from Mrs. Griffin’s
bag. Here is what he ended up with:
Amount
Cherry
7
Watermelon
3
Green Apple
5
Grape
5
a. What is the theoretical probability for a watermelon jelly
bean?
b. What is the experimental probability for a watermelon
jelly bean?