theoretical probability
Experimental Probability
Combinations
Compound Probability
Mixed Bag
100
3/6
A number cube has 6 sides. The sides are numbered 1 to 6. If the cube is thrown once, what is the probability of rolling an even number?
100
6/10
You flip a coin 10 times. It lands on heads 6 times and tails 4 times. What is the experimental probability of landing on heads?
100
12
Ivan goes to a sandwich shop that offers turkey, ham and roast beef sandwiches. The sandwiches are available on white bread, wheat bread, rye bread or whole grain bread. How many possible sandwiches can Ivan get?
100
1/6 x 1/8 = 1/48
Ivan is going to roll a dice and then spin a spinner with numbers 1-8. What is the probability Ivan will roll a 6 then land on a 2?
100
3/11
One letter is chosen from the word Fergilicous. What is the probability that the letter chosen at random will be the letter i or c?
200
2/6
A number cube has 6 sides. The sides have the numbers 1, 1, 3, 4, 4 and 5. If the cube is thrown once, what is the probability of rolling an even number?
200
4/5
Use the following table to solve the remaining problems. Suppose Gerald is flipping a coin 100 times. Outcomes Heads Tails Totals (out of 50) 80 20 1What is the experimental probability that Gerald gets a Head? (ANSWER in simplest form!)
200
6
Leona has a red dress, a blue dress and a yellow dress. She has a pair of black shoes and a pair of white shoes. Record all the possible outfits Leona can wear.
200
20/400 = 1/20
16) Gary has 20 coins in his pocket. • 4 quarters • 5 dimes • 3 nickels • 8 pennies Without looking, Gary pulls one coin from his pocket and puts it on a table. Then, he pulls one more coin from his pocket. What is the probability that the first coin is a quarter and the second coin is a dime? (ANSWER in simplest forms)
200
7/10, .7, 70%
Ms. Eastman is trying to choose which earrings to wear. She has three pairs of hoop earrings, two pairs of diamond earrings, and five pairs of dangly earrings. If she closes her eyes and randomly chooses a pair, what is the probability that it will be a dangly or hoop pair? (write your answer as a fraction, decimal and percent)
300
40%
Sarah has 20 hamsters. Eight of them are brown, and twelve of them are black. If she sticks her hand in the hamster cage and randomly picks a hamster to play with, what is the probability that it will be brown? (answer as a percent)
300
4/20
Soleil put the following marbles in a bag: 5 black, 7 white, and 3 red. She then pulled a marble from the bag and replaced it 20 times. Her results are listed below. Results W R W W R B W B W R R W B B W R B W W B What is the experimental probability that Soliel pulls a red marbles
300
6
Sandy has pink, yellow and green shirts. She also has black and brown pants. How many possible outfit combinations does she have? (Hint: draw tree diagram if you need help figuring it out)
300
1/6
You toss a coin with two sides, heads and tails. Then you choose a block from a bag that has three blocks – one red, one green, and one blue. What is the probability that you will toss a heads and then choose a blue block?
300
10/100 = 1/10
11) Gary has 10 coins in his pocket. • 2 quarters • 5 dimes • 3 nickels Without looking, Gary pulls one coin from his pocket and puts it on a table. Then, he pulls one more coin from his pocket. What is the probability that the first coin is a quarter and the second coin is a dime?
400
28/30
Candy has 8 green Skittles, 14 yellow skittles, 6 pink skittles, and 2 purple skittles. What is the probability that she will NOT pick a purple skittle?
400
25/100, .25, 25%
John and his friends wanted to get better at playing cards. They decided to do an experiment using a regular deck of cards. They shuffled the cards and picked one at a time. They recorded which suit (hearts, diamonds, clubs, or spades) it was and returned it to the deck. Their results are below. Outcome Results Hearts 22 Diamonds 29 Clubs 24 Spades 25 What is the experimental probability of picking a SPADE? (write as a fraction, decimal and percent)
400
24
For dessert at lunch, students can choose chocolate, vanilla, or strawberry ice cream with one topping of sprinklers, candy, crumbled cookies or fudge, in either a dish or a cone. How many different choices of desserts do the students have?
400
1/30
You roll a cube which has the numbers 10, 13, 16, 19, 21, and 22 on it. You then spin a spinner which has 5 sections. The letters on the spinner are G, J, H, F, and C. Find probability of rolling a 22 and landing on a J
400
1/25
Da’Veeda has 2 spinners. One is numbered 1-5 and the other is divided into 5 colors (red, green, blue, black, and purple). What is the probability that she will land on 3 and purple?
500
4/6, 66%, .66
What is the probability of NOT rolling a 2 or 3 on a regular die? (answer as a fraction, decimal and percent)
500
1/10, 0.1, 10%
1 2 3 4 5 6 7 8 9 10 HT HH TT TH HT TH TH HT HT TH What is the experimental probability of getting two heads? (answer in fraction, decimal and percent
500
72
The math club is electing new officers. There are 3 candidates for president, 4 candidates for vice-president, 4 candidates for secretary, and 2 candidates for treasurer. How many different combinations of officers are possible?
500
18/121
Trent has 11 balls in a bag. There are 2 solid balls, 6 striped balls, and 3 clear balls. Without looking, he picks one ball out of the bag and place sit on his desk. He then picks a second ball from the bag. What is the probability that the first ball is striped and the second ball is clear?
500
1/8 x 2/8 = 2/64
What is the probability of pulling a E out of an envelope with with letters to spell Jeopardy and then pulling a J or a D?