Likelihood of Events
Experimental Probability
Sample Space
Theoretical Probability
100
A box contains 3 red pencils, 5 blue pencils, 4 black pencils, and 2 green pencils.
The best description of the likelihood of selecting a green pencil at random from the box is
Unlikely
100
Carissa rolled a number cube 40 times. The table shows the cumulative results of each roll. What is the experimental probability of rolling a 4?
Number Rolled 1, 2, 3, 4, 5, 6
Times Rolled 5, 8, 5, 7, 6, 9
7/40
100
A fair coin is tossed 3 times. What is the sample space?
Heads and Tails
100
A store owner is having a prize giveaway. The prize is determined by drawing a numbered tile from a bag. The bag has 10 tiles numbered, 1, 2, 2, 3, 3, 4, 4, 5, 5, and 6. What is the theoretical probability of drawing a 4?
2/10
200
The probability the spinner lands on a number greater than 2 is P(greater than 2)=66.6%P(greater than 2)=66.6%. Which best interprets the likelihood of the spinner landing on a number greater than 2?
Unlikely, Equally Likely, Likely, or Certain?
Likely
200
How do you calculate Experimental Probability?
Number of Times the Event Occurs
Total Number of Trials
200
A marble is randomly drawn from a bag that has 3 blue marbles, 1 red marble, 6 yellow marbles, and 2 black marbles and the color drawn is recorded. What is the sample space?
Blue, red, yellow, black
200
A contestant on a game show will choose one envelope at random. The table shows the prize distribution of the envelopes.
Prize(# of envelopes)
$0(38), $5(20), $25(10), $100(6), $1,000(1)
What is the theoretical probability that the contestant will win $100?
0.08
300
Ellen’s class voted for different field trip destinations. P(museum) 25%, P(zoo)=0.25,P(nature center)=37.5%, and P(state park)=5/24. If one vote is chosen at random, which destination is least likely to be chosen?
State Park
300
Gabriella is a 75% free throw shooter which means that on average she makes 3 out of 4 free throw attempts. The table shows the results of 10 trials of a simulation where “Y” represents a made free throw and “N” represents a missed free throw. Which is greater, the experimental probability or the theoretical probability that Gabriella makes her next free throw attempt?
N, Y, Y, N, Y, Y, N, Y, Y, Y
Theoretical Probability
300
The spinner shown is spun once. What is the sample space?
1,2,3,4,5
300
A spinner with 8 equal-size sections labeled as shown is spun 300 times. What is the theoretical probability, written as a fraction, of spinning a consonant?
3/4
400
A number cube with sides numbered 1, 2, 3, 4, 5, and 6. What is the likelihood of rolling a 0?\Certain, Very likely, Equally likely, or impossible?
Impossible
400
Kendra spins the spinner with 8 equal-size sections shown below once. After 40 trials of the experiment, the experimental probability of spinning yellow is 1/5.
What is the difference between the number of actual outcomes and the number of expected outcomes?
2 Outcomes
400
A deli offers the types of sandwiches shown in the table. Suppose a customer selects a type of sandwich at random from the menu. How many possible outcomes are there?
Type of Sandwich
chicken, veggie, turkey, ham
4
400
Celicia selects a marble at random from a bag with 6 red marbles, 8 blue marbles, 2 green marbles, and 4 yellow marbles. What is the theoretical probability that Celicia selects a blue marble?
8/20, 2/5,0.4, 40%
500
Woo rolls a number cube with sides labeled 1, 2, 3, 4, 5, and 6. How likely is it that Woo will roll an odd number?
Equally Likely
500
Edgar has several different types of songs in a playlist. Suppose he plays a song at random from the playlist. How much greater is the probability that he plays a rock song than a hip hop song?
Country (9), Hip Hop (11), Jazz (5), Rock (15)
0.1, 10%
500
What is the sample space in the word:
MATHEMATICS
M A T H E I C S
500
Kennan spins the spinner with 8 equal-size sections shown below one time. Order the events from least likely to most likely. P(5 Or 6), P(Even), P(3), P(<4).
P(3), P(5 or 6), P(<4), P(Even)