Theoretical vs Experimental Probability
If I flip a coin 20 times, it should land 10 times on heads, and 10 times on tails. Is this theoretical probability or experimental probability?
If you were to roll a die, what is the probability of rolling an even number?
3/6 = 1/2
There are 20 skittles in the bag. 3 are red, 11 are green, 6 are yellow. What is the probability of picking a red?
3/20
There are 3 green marbles, 7 red marbles, and 6 yellow marbles. A yellow marble is picked, and not replaced. Now what is the probability of picking another yellow marble?
5/15 = 1/3
What is the theoretical probability of rolling a 5 when you roll a die?
1/6
If you were to pick a letter in the name ELISCU, what is the probability of picking a vowel?
3/6 = 1/2
Out of 100 people surveyed about their favorite food: 50 chose pizza, 20 chose cookies, and 30 chose hot dogs. What is the probability of someone not picking hot dogs?
70/100 = 7/10
There are 3 green marbles, 7 red marbles, and 6 yellow marbles. A yellow marble is picked, and not replaced. Now what is the probability of picking a green marble?
3/15 = 1/5
If I pick a letter of the alphabet at random, what is the theoretical probability of picking the letter M?
1/26
What is the probability of rolling a 7 on a die?
0
A coin was flipped 20 times. The first 12 times it landed on heads. What is the probability that the 13th time, it will land on heads?
There are 3 green marbles, 4 red marbles, and 2 yellow marbles. What is the probability of picking a yellow marble, not putting it back, and then picking a green marble?
2/9 x 3/8 = 6/72 = 3/36 = 1/12
I flipped a coin 30 times. It landed on heads 12 times, and it landed on tails 18 times. Is this theoretical probability or experimental probability?
Experimental Probability
What is the probability of not rolling a 3 on a die?
5/6
There are 3 red balloons, 5 blue balloons, and 8 green balloons. What is the probability of picking a blue balloon?
5/16
There are 3 green marbles, 2 red marbles, and 2 yellow marbles. What is the probability of picking a green marble, not replacing it, and then picking another green marble?
3/7 x 2/6 = 6/42 = 1/7
What is the difference between theoretical and experimental probability?
Theoretical = What should happen
Experimental = What actually happens
What is the probability of picking an odd number between 1 and 5?
3/5
You can win a prize if you correctly choose a number between 1 and 30. What is the probability of winning if you only have 1 guess?
1/30
There are 2 green marbles, 4 red marbles, and 1 yellow marble. A yellow marble is picked, and not replaced. What is the probability of picking another yellow marble?
0