Theoretical
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%
Alex 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 Alex account for this change in experimental probability?
As the number of trials increase, the experimental probability reaches closer to the theoretical probability.
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
Define "theoretical probability."
It is the probability of what should occur.
Is the following event dependent or independent?
Johnny draws a three of hearts, puts it back in the deck, and draws a six of spades.
Independent
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?
2/3, .66, or 66%
John spun a spinner 20 times. He rolled a red 6 times, a yellow 7 times, a blue 2 times, and a green 5 times. What is the experimental probability of spinning a yellow?
7/20
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
Define "experimental probability."
The probability of what actually occurs.
Is the following event dependent or independent?
Sally chose a jelly bean, then another jelly bean without putting the first one back in the bag
Dependent
What is the probability of rolling two odd numbers in a row with a standard number cube?
1/4, or 0.25, or 25%
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%
Define "probability".
What is the probability of Johnny rolling two back-to-back sixes?
1/36
There are 3 red marbles, 2 green marbles, and 1 yellow marble in a box. What is the probability she got a green OR a red?
5/6
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%
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
Define "independent event."
When one event occurs and the item is replaced before the second event occurs.
Johnny has 7 pieces of fruit in a basket. 3 are apples, 2 are pears, and 2 are oranges. What is the probability of Johnny taking out an apple, eating it, and then take out an orange?
3/7 * 2/6 = 6/42 or 1/7
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%
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%)
At a party, sandwiches are served on 5 types of bread: multi-grain, pita, rye, sourdough, and whole wheat. They can choose one meat of three. How many sandwiches are there to choose from?
15
Define "dependent event."
When one event occurs and that item is not replaced before the second event occurs.
There was a bag of 10 marbles. 3 of them were red and 4 were green. The rest were blue. What is the probability of Johnny pulling out a two blue marbles one by one without replacing them?
3/10 * 2/9 = 6/90=1/15