Theoretical
Maria is spinning a spinner. The spinner has 4 equal sections labeled A-D. What is the probability the spinner will land on the letter "A"?
1/4 or 25%
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.
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
P(heads then tails)
1/2 x 1/2 = 1/4 or 25% or 0.25
A bag of marbles has 3 red marbles, 5 black marbles, and 2 white marbles. What is the probability of pulling out a red marble?
3/10 or 30%
Ms. Catalano has a non-uniform spinner where red is 1/2 the spinner, blue is 1/4, and black is 1/4. After 500 spins, about how many times would you expect red to show up?
250 times
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.
What is the probability of rolling a dice and getting a 3 then a 4?
1/6 x 1/6 = 1/36 or 2.7777% or 0.027777
I have a pack of Starburst. There are 8 orange, 3 red, and 1 yellow. What is the probability that I pick a pink one? Impossible, unlikely, likely, or certain?
Impossible
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%
What does it mean if an event is certain? Give an example of a certain event.
It will occur, 100% likely I will die.
1/6 x 3/6 = 3/36 = 1/12 or 8.33333% or 0.083333
There are 7 red marbles, 2 green marbles, and 1 yellow marble in a box. Is it certain, likely, unlikely, or impossible that I select a green marble?
Unlikely-20%
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%
I rolled a dice then flipped a coin. Are these independent or dependent events? Explain.
Independent because the outcome of one event does not affect the outcome of the other event.
P(heads then tails then heads)
1/2 x 1/2 x 1/2 = 1/8 or 12.5% or 0.125
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 deli owner records the following information about his customers: 48 ordered Turkey 25 ordered Vegetarian 27 orded Ham If he sells 20 sandwiches today about how many of them will be Turkey?
About 10 (9.6 to be exact but you can't sell a piece of a sandwich!)
How can you tell if a game is "fair"?
If each person has an EQUAL chance of winning.
4/12 x 3/11 x 5/10 = 60/1320 = 1/22 or 4.54% or 0.04545