Calculating Probabilities
Calculating Probability Through Experiments
Multi-Step Experiments
Sample Space
How Likely is it?
100
Maria is flipping a coin and spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the coin will land on heads and the spinner will land on the letter "A"?
1/8 or 0.125, or 12.5%
100
Hasaan has a spinner with 5 equal sections, each a different color. After only 10 spins, the pointer had landed on red 40% of the time. After a whopping 1,000 spins, the pointer landed on red only 22% of the time. How can Hasaan account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability. (The Law of Large Numbers)
100
You are trying to decide what to wear to school. You know you have a green pair of pants, a red pair, and a blue pair. You also have a brown shirt, a plaid shirt, and a yellow shirt. How many different outfit combinations can you make?
9
100

Write out the Sample Space if you were to roll a 6 sided dice?

1,2,3,4,5,6

100
How likely is it that a coin is flipped and lands on tails?
Equally likely
200
The classic wood carousel at Carousel Park in Hampton, VA has 32 jumping horses and 16 standing horses. What is the probability of randomly selecting a jumping horse?
1/2, or 0.50, or 50%
200

Billy was fishing. While fishing, he caught 7 sharks, 3 octopus, and 10 dolphins. Based on these results what is the probability that the next animal caught will be a shark.

7/20, .35, 35%

200
What is the number of possible outcomes for spinning one spinner with 8 equal sections and another spinner with 6 equal sections?
48 possible outcomes
200

Write out the Sample Space if all 12 months were put into a hat and a random month was chosen out of the hat?

January, February, March, April, May, June, July, August, September, October, November, December

200
How likely is it that a number cube is tossed and lands on 3?
Unlikely
300
What is the probability of rolling two odd numbers in a row with a standard number cube?
1/4, or 0.25, or 25%
300
A letter tile is randomly selected from a bag, recorded, and replaced 100 times. The results are listed below. What is the experimental probability of selecting the letter "E"? A = 16 E = 11 I = 29 O = 19 U = 25
11/100 or 0.11, or 11%
300
Amiya and Keyshawn are candidates for class president of the 7th grade. Ajaye, Chishon, and Laura are candidates for vice president. How many winning combinations are possible?
6
300

Write out the Sample Space if you were to flip a coin and roll a dice at the same time.

H1, H2, H3, H4, H5, H6

T1, T2, T3, T4, T5, T6

300
How likely is it that a number cube is tossed and it lands on 8?
never going to happen
400
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. One marble is taken out and not replaces. A second marble is then taken out and not replaced. What is the probability both marbles that were taken out are red?
1/5, or 0.20, or 20%
400
Pedro recorded the types of birds that visit his bird feeder. Based on the results below, what is the probability the next bird will be a chickadee? Woodpecker = 3 Chickadee = 5 Cardinal = 1 Sparrow = 13 Blue Jay = 3
1/5, or 0.20, or 20%
400
Ms. French is packing for a trip. She packs a white blouse, a pink blouse, a blue blouse, and a green blouse. She also packs a black suit, a navy blue suit, and a gray suit. What is the probability that the first outfit she wears is the gray suit with a pink blouse?
1 out of 12
400

Write out the Sample Space if you were to roll 2 6-sided dice.

11,12,13,14,15,16

21,22,23,24,25,26

31,32,33,34,35,36

41,42,43,44,45,46

51,52,53,54,55,56

61,62,63,64,65,66

400
How likely is it that a number cube is tossed and lands on any number 1-6?
Certain
500
Jarvonya spins a spinner with 5 equal sections numbered 1-5 and she spins another spinner with 5 equal sections with the letters A-E. What is the probability she will spin a 4 and a B?
1/25 or 0.04, or 4%
500
A six-sided die is thrown 50 times. Using the list below, how does the theoretical probability of rolling a 3 compare to the experimental probability of rolling a 3? Number on Die How Many Times it Landed on that Number 1 8 2 6 3 7 4 12 5 10 6 7
The theoretical probability is higher than the experimental probability. (Theoretical = 17%, Experimental = 14%)
500
What is the probability of rolling three 4's in a row on a number cube?
1/216
500

Create a Tree Diagram to represent the sample space if the 3 experiments were performed. A coin was flipped, then a spinner with the colors Red, Blue, Green, and Yellow was spun, and then a 6 sided dice was rolled

See teacher drawing.

500
How likely is it that a number cube lands on 2 and a coin lands on heads?
unlikely
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