Vocabulary
Define probability.
The chance that some event will occur.
What is the theoretical probability of rolling two 1's when rolling two dice?
1/36
6 x 6 possible outcomes on the 2 dice.
1/6 x 1/6= 1/36
Two dice are rolled together 20 times. A sum of 9 is rolled 8 times. What is the experimental probability?
8/20= 2/5
If 11/50 people ordered cheesecake at a restaurant, how many out of 150 people would you expect to order cheesecake?
33
150*11/50=33
John bought a bag of oranges on Monday and ate a third of them. On Tuesday he ate half of the remaining oranges. On Wednesday he looked in the bag to find that he only had two oranges left. How many oranges were originally in the bag?
He had 6 oranges to start with, and ate 2 the first day and 2 the second day.
Define simple event.
What is the theoretical probability of rolling a number 5 on a dice?
1/6
Two coins are tossed 10 times. Both coins land on heads 6 times. What is the experimental probability?
6/10=3/5
If 1/6 Doritos are spicy, how many Doritos would be spicy out of a bag that contains 99 Doritos?
17 (16.5)
1/6=16.5/99
There are a mix of red, green and purple balls in a bag. The total number of balls is 60. There are four times as many red balls as green balls and 6 more purple balls than green balls. How many balls of each color are there?
15 purple
36 red
9 green
Define outcome.
A possible result in a probability experiment.
What is the theoretical probability of tossing three coins and having all three coins land on heads?
1/8
1/2 x 1/2 x 1/2= 1/8
A spinner with 3 equal sections is spun 60 times. The spinner lands on green 21 times, blue 15 times, and red 24 times. What is the experimental probability of the spinner landing on green?
21/60= 7/20
If 70 out of 540 people stated that their favorite zoo animal is a penguin, how many people out of 1020 would you predict to also choose a penguin as their favorite zoo animal?
132
70/540= 132/1020
If you have a cake, how many pieces of cake can you form with 3 straight cuts?
8 pieces.
Make two cuts like you normally would then one horizontal cut from the side of the cake.
Define theoretical probability.
What SHOULD happen when conducting a probability experiment.
What is the theoretical possibility of spinning green on a spinner that contains 4 colors?
1/4
A number cube is rolled 20 times and lands on 1 two times and on 5 four times. What is the experimental probability that a the cubes will land on a number other than 1?
18/20= 9/10
57 people were polled about their favorite color, and 13 of them said that blue was their favorite. How many people out of 200 would also pick blue as their favorite?
46 (45.6)
13/57=46/200
You're going to a friend's house and want to give them some brownies. On the way to their house you cross 5 bridges. At each bridge you must pay a toll of half your brownies to the owner; but they are all very nice and give you back a brownie from what you give them. How many brownies must you start with to give your friend 2 brownies?
Just 2.
Each time you give the owner of a bridge half of your brownies (1 brownie) they give you back one as well.
Define experimental probability.
What ACTUALLY occurs during an experiment.
What is the theoretical probability of pulling a blue m & m from a container that contains red, orange, brown, blue, yellow, and green.
1/6.
A number cube is rolled 20 times and lands on 1 two times and 5 four times. What is the experimental probability of landing on 5?
4/20= 1/5
If 3 out of 1,835 people are allergic to bees, how many out of 25,300 would be allergic to bees?
41 people.
3/1835=41/25,300
Can you solve the following sequence:
11 12 26 81 82 166 501 502 1006?
3021
11+12+3=26 26*3=78+3= 81
81+82+3=166 166*3=498+3= 501
501+502+3=1006 1006*3=3018+3=3021