Theoretical & Experimental Probability
Mr. Biasi rolled a die twenty times. He landed on 2 five times, 3 seven times, 6 two times, and 5 six times. What is the experimental probability of landing on 6?
1/10, 0.1, or 10%
Describe the difference between events that are certain, likely, unlikely, or impossible. Use a number line,numbers, and/or percentages in your answer.
certain = 1, likely = 0.75, unlikely = 0.25, impossible = 0
If you flip a coin 10 times, about how many times should it land on heads?
5
Determine the type of probability that is being described in each situation below:
a) Marcus is trying to determine the probability of flipping a coin to land on heads, picking a random number out of a hat and holding on to it, and then picking another number from the same hat.
b) Marcus is trying to determine the probability of rolling a number cube and picking a white marble out of a bag, putting it back and picking another white marble.
a = dependent probability
b = independent probability
Create a tree diagram that shows the sample space of rolling a 6 sided die and flipping a coin.
12 total outcomes
The classic wood carousel at Carousel Park in Astoria Park has 32 horses and 16 of them are standing horses. What is the probability of randomly selecting a standing horse?
What is 1/2, or 0.50, or 50%?
Which number represents the probability of an event that is very likely to occur?
a) 1.02 b) 0.09 c) 0.65 d) 0.54
C
A deck of cards has 5 yellow, 3 blue, and 5 green cards. You pick 3 cards from the deck. Cards are returned to the deck after they are picked. What is the probability of picking three blue cards in a row?
0.012
Create a tree diagram that shows the sample space of spinning a spinner with the colors blue, red, and pink and rolling a 4 sided die
12 total outcomes
Which number represents the probability of an event that is least likely to occur?
a) 1.02 b) 0.09 c) 0.65 d) 0.54
B
Trenten has 54 marbles in a bag. There are 16 green marbles and 38 blue marbles. Predict how many green marbles are picked if he conducted an experiment with 150 trials.
44 green marbles
Twenty cards are numbered 1 – 20. You draw a card. Without replacing it, you draw a second card. Find the probability that the first card will be an even number and the second card drawn will be an even number.
9/38
There are 4 types of bread, 7 types of meat, and 3 types of cheese. How many different sandwhiches could be made?
84 different outcomes
Joshua 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%
Which event is LEAST likely to occur?
a) Flipping a fair coin, with sides labeled heads and tails, and the coin landing on tails
b) Choosing a marble out of a bag, with nine blue marbles and one red marble, and the marble being red
c) Rolling a fair number cube, with faces labeled one to six, and the cube landing on a number less than six
d) Spinning the arrow on a spinner, with four equal sectors labeled one to four, and the arrow landing on a number greater than one
B
Kerry has a bag containing white and yellow marbles. Kerry randomly selects one marble from the bag, records the result, and returns the marble to the bag. The results of the first 40 selections are shown below.
A white marble was selected 21 times.
A yellow marble was selected 19 times.
Based on these results, what is the probability that the next marble Kerry selects, rounded to the nearest percent, will be white?
53%
Kyle has a container that holds 60 paperclips. Half of the paperclips are metal. The other half are covered plastic: 10 red, 10 green, and 10 blue. If Kyle randomly takes a paperclip out of the container without putting it back, what is the probability that he will select a green plastic paperclip, followed by a blue plastic paperclip, followed by another green plastic paperclip?
15/406
What is the total number of possible outcomes for spinning a spinner with 2 sections (Yellow and Orange), flipping a coin, then rolled a six-sided dice.
24 total outcomes
Noel spins a spinner with 5 equal sections numbered 1-5. What is the probability he will spin and land on a composite number?
What is 1/5 or 0.2, or 20%?
answers will vary
Makayla has a 0.2 chance of winning Ms. Cohen's raffle. If there are 30 tickets in the bucket, how many of the tickets have Makayla's name on it?
6
Edwin has a bag that has colored pieces of paper in it. In the bag, there are 2 green, 3 yellow and 4 red pieces. Edwin wants to win a bet against his friend using the bag of colored paper pieces. Should he bet his friend that he can pull one of each color out of the hat with replacing the paper after each pull or without replacing?
8/243 (replacing) and 1/21 (w/o replacing) he should bet without replacing
Ms. Sobel goes to the Salad Shack and can pick one item from each category to create her own salad. Ms. Sobel looks at the menu and exclaims “There are thousands of options!”. Do you agree with her? Explain.
Menu: 5 greens, 7 proteins, 10 veggies, 3 extras, and 6 dressings.
Yes, there are 6,300 different options.