Theoretical Probability
A bag has 5 red, 3 blue, and 3 green marbles. What's the probability you select a red marble? (Fraction and Percent)
5/11
45%
Person A and B play rock, paper, scissors. Person A could win, Person B could win or they could tie. They play 50 times. Person A won 20 times, Person B won 20 times, and they tied 10 times. What is the experimental probability of getting a tie? (Fraction and Percent)
1/5
20%
Olivia selects a letter randomly from a bag containing the letters: M, A, T, H, E, M, A, T, I, C, and S.
Find: P(T or M) as a fraction in simplest form.
4/11
How many outcomes are possible when flipping a coin two times?
4
You flip a coin two times. What's the probability it lands on heads both times? (Fraction and Percent)
1/4
25%
A bag has 5 red, 3 blue, and 3 green marbles. What's the probability you select a green or blue? (Fraction and Percent)
6/11
54%
Person A and B play rock, paper, scissors. Person A could win, Person B could win, and they could tie. They play 50 times. Person A won 18 times, Person B won 24 times, and they tied 8 times. What's the experimental probability that Person A wins? (Fraction and Percent)
18/50 = 9/25
36%
You roll a 6-sided die. What's the probability you roll an odd number? (Fraction and Percent)
3/6=1/2
50%
How many outcomes are possible when flipping a coin 3 times?
8
You flip a coin and roll a 6 sided die. What's the probability you flip tails and roll a 4?
1/12
A bag has 5 red, 3 blue, and 3 green marbles. What's the probability you select not blue? (Fraction and Percent)
8/11
73%
Frankie performed an experiment by drawing letters out of a bag. Her results are: S, S, S, S, H, H, O, O, O, O, O, O, L, L, L.
Find: P(S or L)
7/15
An ice cream store sells sundaes. You can choose between strawberry, chocolate, or vanilla ice cream. You can add bananas, fresh strawberries, or chocolate sauce. You can top it off with sprinkles, chopped nuts, chocolate chips, or pop rocks. How many different combinations are possible?
36
How many outcomes are possible when rolling 2 six-sided dice?
36
A drawer contains 5 red socks, 10 white socks, and 3 blue socks. Without looking, Anna picks out a sock and then picks out a second sock without returning the first sock.
Find: P(red, red)
5/18*4/17=20/306=10/153
What is the theoretical probability of picking a pink gumball from a machine that has 10 green, 12 blue, 8 pink, and 6 yellow gumballs?
8/36 or 2/9
AJ took a survey about favorite snacks of his classmates. 8 said fruit, 2 said granola, 3 said pretzels, 7 said chips and 5 said carrots.
Find: P(fruit) as a percent
32%
At the deli, you can choose from 5 different kinds of bread, 6 different kinds of meat, and 3 different kinds of cheese. How many different sandwiches can the deli make?
90
How many outcomes are possible when flipping a coin, rolling a six-sided die, and spinning a spinner with four colors (each part of the spinner is the same size)?
48
Mary Beth has a bag of markers containing 4 blue, 5 red, 7 purple, and 2 green. She picks out a marker then replaces it back into the bag.
Find: P(red, purple or green)
5/18*9/18=45/324=5/36
Explain the difference between theoretical and experimental probability.
Theoretical Probability is based on the possible outcomes and measures what we think will happen.
Experimental Probability is based on data and measures what actually happens.
Anna has a bag of markers containing 4 blue, 5 red, 7 purple, and 4 green. She picks out a marker then replaces it back into the bag.
Find: P(purple or green, blue or green)
11/20*8/20=88/400=11/50
You flip a coin 10 times. How many possible outcomes are there?
1,024
You flip a coin, roll a 12-sided die and spin a spinner. You calculate there are 168 outcomes possible. How many colors are on the spinner (assuming each piece of the spinner is the same size and a different color)?
7
Sammy bought a pack of origami paper that contained 10 red, 9 orange, 5 yellow, 12 green, and 10 blue. She needs 2 pieces of paper, so she randomly picks one, and then without replacing it, randomly picks another piece of paper.
Find: P(red, blue)
10/46*10/45=100/2070=10/207