Basics
Compound Event
Experimental Probability
Valid or Invalid?
Oh, the many options there are!
100
I have 5 green marbles, 6 blue marbles and 4 red marbles. What is the probability of picking a blue marble?
6/15 or 2/5
100
I roll a number cube and spin a spinner with the letters A-D on it. Find the probability of rolling an odd number and getting a consonant on the spinner.
What is 9 / 24 or 3 / 8
100
I toss a coin 450 times and got heads 223 times. Find the experimental probability of getting heads.
223 / 450
100
You want to find out what students at Grant feel about some new uniform rules. You survey half the 7th and half the 8th grade. You find out that 88% do not like the new rules. Is the survey valid? Why or why not?
Invalid. Your goal is to find out what "students at Grant" feel about the rules. However, you only ask 7th and 8th graders. You don't ask any 6th grades their opinions.
100
If you have 3 pants, 2 shirts and 5 scarves, how many different outfits can you make?
30 outfits
200
What is the probability of rolling a number that is NOT prime on a number cube?
3/6 or 1/2
200
I have 4 green cards, 6 blue cards and 2 yellow cards. I pick one, give it to you, and pick another. Find the probability of getting a blue card and then another blue card.
30 / 132 or 15 / 66 or 5 / 22
200
I have 7 green marbles, 6 black marbles, 5 red marbles and 2 green marbles in a bag. I pick one, put it back and pick another. After 100 trials, I got green 28 times. Find the experimental probability of getting a green marble on the next pick.
28 / 100
200
You want to find out about people's favorite lunch foods. You stand on the corner of Broadway and Evans and survey every 6th person. You find out most people like hamburgers for lunch. Is the survey valid or invalid.
Valid. Your sample is random and you are working in a neutral location.
200
A restaurant lets you choose from steak, pasta, fish or salad for a main dish and then soda, tea, water or juice for a drink. How many different meals can you make from picking one main and one drink?
16 meals.
300
What is the probability of guessing the correct answer on a multiple choice test if the choices are A, B, C, D or E?
1/ 5
300
I flip a coin twice. Find the probability of getting heads both times.
1/4
300
I predict that 20 / 25 people will be able to answer the next question correctly. In reality 85% answer it correctly. How does my prediction compare to my actual results.
my prediction is lower than my actual results.
300
Explain why the following survey is invalid. You want to find out what brands of clothing are popular right now. You stand in front of Macy's and survey people with 2 or more shopping bags as they exit the store.
The survey is invalid because you are only standing in front of Macy's, not working in front of any other store.
300
Write out the sample space for rolling two number cubes
1, 1 1, 2 1, 3 1, 4 1, 5 1, 6 2, 1 2, 2 2, 3 2, 4 2, 5 2, 6 3, 1 3, 2 3, 3 3, 4 3, 5 3, 6 4, 1 4, 2 4, 3 4, 4 4, 5 4, 6 5, 1 5, 2 5, 3 5, 4 5, 5 5, 6 6, 1 6, 2 6, 3 6, 4 6, 5 6, 6
400
I predict that I am going to get 75% of the questions right on this test. I actually got 16/20. How does my prediction compare to my actual results? [eg, higher? lower? same? cannot tell?]
My prediction is lower than my actual score.
400
I flip a coin and spin a spinner with the colors red, green, blue, purple and grey on it. Find the probability of getting tails and not purple.
What is 4 / 10 or 2 / 5
400
You have 3 red cards, 6 tan cards, 5 orange cards and 6 purple cards. You pick one at random and put it back. After 423 trials you get a tan card 205. What is the experimental probability of not getting a tan card?
218 / 423
400
Is the following survey valid or invalid? Explain. Sam is studying the height of 6th grade students in the Denver. He goes to 5 middle schools across Denver and measures 100 6th graders in each school.
It is valid because he surveyed people from across the Denver and surveyed the same number of people in each location.
400
Find the sample space from flipping a coin and spinning a spinner with the numbers 1-4 on it.
1H 2H 3H 4H 1T 2T 3T 4T
500
I have a regular deck of cards (4 suits, 13 cards per suit). What is the probability that I will get a red queen?
2 / 52 or 1 / 26
500
I have 15 grey marbles, 2 green marbles, 6 yellow marbles, 5 red and 2 blue. I pick one, put it in my pocket and pick another. Find the probability of getting a yellow and then a red marble.
What is 30 /870 or 1 / 29
500
Jan thinks that 65% of the people she sees in the park today will have a dog with them. Of the 32 people she saw in the park, 20 had a dog with them. How does her prediction compare to the actual results?
Her prediction was higher than the actual results.
500
You want to study people's shopping habits in Denver. You go to Cherry Creek Shopping Center to count the cars in the parking lot. Is the survey valid or invalid?
Invalid: You are only surveying one location and you cannot tell which store those people are going to.
500
You have 4 shirts (red, white, blue, yellow), 5 pants (black, grey, brown, navy and purple) a) find the number of different outfits you can make. b) If you pick one outfit at random to wear, find the probability that you will pick an outfit that has a red shirt in it.
a) 20 outfits b) 5 / 20 or 1/4